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Finding the Fourth Proportional to 766.74, 1,149.42 and 473.52

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Solution

The fourth proportional to 766.74, 1,149.42 and 473.52 is: 709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.74 : 1,149.42 = 473.52 : x
  2. Step 2: Convert to fraction form
    766.74/1,149.42 = 473.52/x
  3. Step 3: Cross multiply
    766.74x = 1,149.42 × 473.52
  4. Step 4: Simplify right side
    766.74x = 544,273.36
  5. Step 5: Solve for x
    x = 544,273.36/766.74
  6. Step 6: Final answer
    x = 709.85

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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.