Continued proportion identity I

If $a, b, c, d$ are in continued proportion, prove that $a : b + d = c^{3} : c^{2} d + d^{3}$ .

~10 minProof · checked by AIcontinued proportionratios

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. II. Proportion, Examples II, No. 8

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