Azeotrope-like compositions are disclosed. The azeotrope-like compositions are mixtures of E-1-chloro-2,3,3,3-tetrafluoropropene with E-1,1,1,4,4,4-hexafluoro-2-butene or E-1,1,1,4,4,5,5,5-octafluoro-2-pentene. Also disclosed is a process of preparing a thermoplastic or thermoset foam by using such azeotrope-like compositions as blowing agents. Also disclosed is a process of producing refrigeration by using such azeotrope-like compositions. Also disclosed is a process of using such azeotrope-like compositions as solvents. Also disclosed is a process of producing an aerosol product by using such azeotrope-like compositions. Also disclosed is a process of using such azeotrope-like compositions as heat transfer media. Also disclosed is a process of extinguishing or suppressing a fire by using such azeotrope-like compositions. Also disclosed is a process of using such azeotrope-like compositions as dielectrics.