Step 1: Pyriproxyfen (A) is a juvenile hormone mimic, so A must pair with (III). This rules out options that pair A with (I) or (IV).
Step 2: Of the remaining choices, only one matches the rest of the key: Chlorantraniliprole-(II), Indoxacarb-(IV), Propoxur-(I).
Step 3: Correct answer: A-(III), B-(II), C-(IV), D-(I).