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Finding the Fourth Proportional to 892.96, 1,231.44 and 542.88

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Solution

The fourth proportional to 892.96, 1,231.44 and 542.88 is: 748.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.96 : 1,231.44 = 542.88 : x
  2. Step 2: Convert to fraction form
    892.96/1,231.44 = 542.88/x
  3. Step 3: Cross multiply
    892.96x = 1,231.44 × 542.88
  4. Step 4: Simplify right side
    892.96x = 668,524.15
  5. Step 5: Solve for x
    x = 668,524.15/892.96
  6. Step 6: Final answer
    x = 748.66

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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.