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Finding the Fourth Proportional to 766.92, 1,149.42 and 382.28

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Solution

The fourth proportional to 766.92, 1,149.42 and 382.28 is: 572.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.92 : 1,149.42 = 382.28 : x
  2. Step 2: Convert to fraction form
    766.92/1,149.42 = 382.28/x
  3. Step 3: Cross multiply
    766.92x = 1,149.42 × 382.28
  4. Step 4: Simplify right side
    766.92x = 439,400.28
  5. Step 5: Solve for x
    x = 439,400.28/766.92
  6. Step 6: Final answer
    x = 572.94

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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.