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Finding the Fourth Proportional to 836.82, 1,155.08 and 542.12

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Solution

The fourth proportional to 836.82, 1,155.08 and 542.12 is: 748.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.82 : 1,155.08 = 542.12 : x
  2. Step 2: Convert to fraction form
    836.82/1,155.08 = 542.12/x
  3. Step 3: Cross multiply
    836.82x = 1,155.08 × 542.12
  4. Step 4: Simplify right side
    836.82x = 626,183.48
  5. Step 5: Solve for x
    x = 626,183.48/836.82
  6. Step 6: Final answer
    x = 748.29

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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.