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Finding the Fourth Proportional to 819.60, 1,229.64 and 380.76

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Solution

The fourth proportional to 819.60, 1,229.64 and 380.76 is: 571.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.60 : 1,229.64 = 380.76 : x
  2. Step 2: Convert to fraction form
    819.60/1,229.64 = 380.76/x
  3. Step 3: Cross multiply
    819.60x = 1,229.64 × 380.76
  4. Step 4: Simplify right side
    819.60x = 468,197.73
  5. Step 5: Solve for x
    x = 468,197.73/819.60
  6. Step 6: Final answer
    x = 571.25

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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.