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Finding the Fourth Proportional to 766.69, 1,149.23 and 355.48

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Solution

The fourth proportional to 766.69, 1,149.23 and 355.48 is: 532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.69 : 1,149.23 = 355.48 : x
  2. Step 2: Convert to fraction form
    766.69/1,149.23 = 355.48/x
  3. Step 3: Cross multiply
    766.69x = 1,149.23 × 355.48
  4. Step 4: Simplify right side
    766.69x = 408,529.38
  5. Step 5: Solve for x
    x = 408,529.38/766.69
  6. Step 6: Final answer
    x = 532.85

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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.