With over 60,000 protein structures available in the Protein Data Bank, it is frequently possible use one of them to obtain starting phase information and to solve new crystal structures. Molecular replacement1–4 procedures, which search for placements of a starting model within the crystallographic unit cell that best account for the measured diffraction amplitudes, followed by automatic chain tracing methods5–8, have allowed the rapid solution of large numbers of protein structures. Despite extensive work9–14, molecular replacement or the subsequent rebuilding usually fail with more divergent starting models based on remote homologues with less than 30% sequence identity. Here we show that this limitation can be substantially reduced by combining algorithms for protein structure modeling with those developed for crystallographic structure determination. An approach integrating Rosetta structure modeling with Autobuild chain tracing yielded high-resolution structures for 8 of 13 X-ray diffraction datasets that could not be solved in the laboratories of expert crystallographers and that remained unsolved after application of an extensive array of alternative approaches. We estimate the new method should allow rapid structure determination without experimental phase information for over half the cases where current methods fail, given diffraction datasets of better than 3.2Å resolution, four or fewer copies in the asymmetric unit, and the availability of structures of homologous proteins with >20% sequence identity.