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Finding the Fourth Proportional to 766.92, 1,057.82 and 514.73

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Solution

The fourth proportional to 766.92, 1,057.82 and 514.73 is: 709.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.92 : 1,057.82 = 514.73 : x
  2. Step 2: Convert to fraction form
    766.92/1,057.82 = 514.73/x
  3. Step 3: Cross multiply
    766.92x = 1,057.82 × 514.73
  4. Step 4: Simplify right side
    766.92x = 544,489.11
  5. Step 5: Solve for x
    x = 544,489.11/766.92
  6. Step 6: Final answer
    x = 709.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.