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Finding the Fourth Proportional to 765.81, 1,147.01 and 502.65

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Solution

The fourth proportional to 765.81, 1,147.01 and 502.65 is: 752.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.81 : 1,147.01 = 502.65 : x
  2. Step 2: Convert to fraction form
    765.81/1,147.01 = 502.65/x
  3. Step 3: Cross multiply
    765.81x = 1,147.01 × 502.65
  4. Step 4: Simplify right side
    765.81x = 576,544.58
  5. Step 5: Solve for x
    x = 576,544.58/765.81
  6. Step 6: Final answer
    x = 752.86

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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.