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Finding the Fourth Proportional to 766.52, 1,149.13 and 636.15

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Solution

The fourth proportional to 766.52, 1,149.13 and 636.15 is: 953.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.52 : 1,149.13 = 636.15 : x
  2. Step 2: Convert to fraction form
    766.52/1,149.13 = 636.15/x
  3. Step 3: Cross multiply
    766.52x = 1,149.13 × 636.15
  4. Step 4: Simplify right side
    766.52x = 731,019.05
  5. Step 5: Solve for x
    x = 731,019.05/766.52
  6. Step 6: Final answer
    x = 953.69

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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.