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Finding the Fourth Proportional to 892.08, 1,230.66 and 542.97

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Solution

The fourth proportional to 892.08, 1,230.66 and 542.97 is: 749.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.08 : 1,230.66 = 542.97 : x
  2. Step 2: Convert to fraction form
    892.08/1,230.66 = 542.97/x
  3. Step 3: Cross multiply
    892.08x = 1,230.66 × 542.97
  4. Step 4: Simplify right side
    892.08x = 668,211.46
  5. Step 5: Solve for x
    x = 668,211.46/892.08
  6. Step 6: Final answer
    x = 749.05

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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.