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Finding the Fourth Proportional to 819.76, 1,229.81 and 453.78

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Solution

The fourth proportional to 819.76, 1,229.81 and 453.78 is: 680.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.76 : 1,229.81 = 453.78 : x
  2. Step 2: Convert to fraction form
    819.76/1,229.81 = 453.78/x
  3. Step 3: Cross multiply
    819.76x = 1,229.81 × 453.78
  4. Step 4: Simplify right side
    819.76x = 558,063.18
  5. Step 5: Solve for x
    x = 558,063.18/819.76
  6. Step 6: Final answer
    x = 680.76

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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.