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Finding the Fourth Proportional to 656.84, 985.32 and 614.16

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Solution

The fourth proportional to 656.84, 985.32 and 614.16 is: 921.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.84 : 985.32 = 614.16 : x
  2. Step 2: Convert to fraction form
    656.84/985.32 = 614.16/x
  3. Step 3: Cross multiply
    656.84x = 985.32 × 614.16
  4. Step 4: Simplify right side
    656.84x = 605,144.13
  5. Step 5: Solve for x
    x = 605,144.13/656.84
  6. Step 6: Final answer
    x = 921.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.