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Finding the Fourth Proportional to 932.96, 1,287.34 and 539.91

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Solution

The fourth proportional to 932.96, 1,287.34 and 539.91 is: 744.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.96 : 1,287.34 = 539.91 : x
  2. Step 2: Convert to fraction form
    932.96/1,287.34 = 539.91/x
  3. Step 3: Cross multiply
    932.96x = 1,287.34 × 539.91
  4. Step 4: Simplify right side
    932.96x = 695,046.39
  5. Step 5: Solve for x
    x = 695,046.39/932.96
  6. Step 6: Final answer
    x = 744.99

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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.