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Finding the Fourth Proportional to 819.96, 1,229.67 and 547.53

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Solution

The fourth proportional to 819.96, 1,229.67 and 547.53 is: 821.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.96 : 1,229.67 = 547.53 : x
  2. Step 2: Convert to fraction form
    819.96/1,229.67 = 547.53/x
  3. Step 3: Cross multiply
    819.96x = 1,229.67 × 547.53
  4. Step 4: Simplify right side
    819.96x = 673,281.22
  5. Step 5: Solve for x
    x = 673,281.22/819.96
  6. Step 6: Final answer
    x = 821.11

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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.