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Finding the Fourth Proportional to 766.65, 1,149.97 and 631.38

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Solution

The fourth proportional to 766.65, 1,149.97 and 631.38 is: 947.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.65 : 1,149.97 = 631.38 : x
  2. Step 2: Convert to fraction form
    766.65/1,149.97 = 631.38/x
  3. Step 3: Cross multiply
    766.65x = 1,149.97 × 631.38
  4. Step 4: Simplify right side
    766.65x = 726,068.06
  5. Step 5: Solve for x
    x = 726,068.06/766.65
  6. Step 6: Final answer
    x = 947.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.