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Finding the Fourth Proportional to 892.80, 1,231.92 and 543.42

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Solution

The fourth proportional to 892.80, 1,231.92 and 543.42 is: 749.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.80 : 1,231.92 = 543.42 : x
  2. Step 2: Convert to fraction form
    892.80/1,231.92 = 543.42/x
  3. Step 3: Cross multiply
    892.80x = 1,231.92 × 543.42
  4. Step 4: Simplify right side
    892.80x = 669,449.97
  5. Step 5: Solve for x
    x = 669,449.97/892.80
  6. Step 6: Final answer
    x = 749.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.