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Finding the Fourth Proportional to 714.68, 985.43 and 539.72

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Solution

The fourth proportional to 714.68, 985.43 and 539.72 is: 744.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.68 : 985.43 = 539.72 : x
  2. Step 2: Convert to fraction form
    714.68/985.43 = 539.72/x
  3. Step 3: Cross multiply
    714.68x = 985.43 × 539.72
  4. Step 4: Simplify right side
    714.68x = 531,856.28
  5. Step 5: Solve for x
    x = 531,856.28/714.68
  6. Step 6: Final answer
    x = 744.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.