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Finding the Fourth Proportional to 747.64, 1,032.18 and 499.78

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Solution

The fourth proportional to 747.64, 1,032.18 and 499.78 is: 689.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.64 : 1,032.18 = 499.78 : x
  2. Step 2: Convert to fraction form
    747.64/1,032.18 = 499.78/x
  3. Step 3: Cross multiply
    747.64x = 1,032.18 × 499.78
  4. Step 4: Simplify right side
    747.64x = 515,862.92
  5. Step 5: Solve for x
    x = 515,862.92/747.64
  6. Step 6: Final answer
    x = 689.99

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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.