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Finding the Fourth Proportional to 819.91, 1,229.46 and 742.15

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Solution

The fourth proportional to 819.91, 1,229.46 and 742.15 is: 1,112.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.91 : 1,229.46 = 742.15 : x
  2. Step 2: Convert to fraction form
    819.91/1,229.46 = 742.15/x
  3. Step 3: Cross multiply
    819.91x = 1,229.46 × 742.15
  4. Step 4: Simplify right side
    819.91x = 912,443.74
  5. Step 5: Solve for x
    x = 912,443.74/819.91
  6. Step 6: Final answer
    x = 1,112.86

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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.