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Finding the Fourth Proportional to 932.53, 1,287.12 and 539.78

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Solution

The fourth proportional to 932.53, 1,287.12 and 539.78 is: 745.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.53 : 1,287.12 = 539.78 : x
  2. Step 2: Convert to fraction form
    932.53/1,287.12 = 539.78/x
  3. Step 3: Cross multiply
    932.53x = 1,287.12 × 539.78
  4. Step 4: Simplify right side
    932.53x = 694,761.63
  5. Step 5: Solve for x
    x = 694,761.63/932.53
  6. Step 6: Final answer
    x = 745.03

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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.