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Finding the Fourth Proportional to 1,207.53, 1,812.85 and 819.27

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Solution

The fourth proportional to 1,207.53, 1,812.85 and 819.27 is: 1,229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.53 : 1,812.85 = 819.27 : x
  2. Step 2: Convert to fraction form
    1,207.53/1,812.85 = 819.27/x
  3. Step 3: Cross multiply
    1,207.53x = 1,812.85 × 819.27
  4. Step 4: Simplify right side
    1,207.53x = 1,485,211.57
  5. Step 5: Solve for x
    x = 1,485,211.57/1,207.53
  6. Step 6: Final answer
    x = 1,229.96

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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.