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Finding the Fourth Proportional to 842.23, 1,161.22 and 542.97

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Solution

The fourth proportional to 842.23, 1,161.22 and 542.97 is: 748.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.23 : 1,161.22 = 542.97 : x
  2. Step 2: Convert to fraction form
    842.23/1,161.22 = 542.97/x
  3. Step 3: Cross multiply
    842.23x = 1,161.22 × 542.97
  4. Step 4: Simplify right side
    842.23x = 630,507.62
  5. Step 5: Solve for x
    x = 630,507.62/842.23
  6. Step 6: Final answer
    x = 748.62

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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.