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Finding the Fourth Proportional to 820.48, 1,227.04 and 743.92

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Solution

The fourth proportional to 820.48, 1,227.04 and 743.92 is: 1,112.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.48 : 1,227.04 = 743.92 : x
  2. Step 2: Convert to fraction form
    820.48/1,227.04 = 743.92/x
  3. Step 3: Cross multiply
    820.48x = 1,227.04 × 743.92
  4. Step 4: Simplify right side
    820.48x = 912,819.60
  5. Step 5: Solve for x
    x = 912,819.60/820.48
  6. Step 6: Final answer
    x = 1,112.54

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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.