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Finding the Fourth Proportional to 821.97, 1,233.53 and 743.54

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Solution

The fourth proportional to 821.97, 1,233.53 and 743.54 is: 1,115.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.97 : 1,233.53 = 743.54 : x
  2. Step 2: Convert to fraction form
    821.97/1,233.53 = 743.54/x
  3. Step 3: Cross multiply
    821.97x = 1,233.53 × 743.54
  4. Step 4: Simplify right side
    821.97x = 917,178.90
  5. Step 5: Solve for x
    x = 917,178.90/821.97
  6. Step 6: Final answer
    x = 1,115.83

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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.