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Finding the Fourth Proportional to 836.76, 1,155.12 and 542.36

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Solution

The fourth proportional to 836.76, 1,155.12 and 542.36 is: 748.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.76 : 1,155.12 = 542.36 : x
  2. Step 2: Convert to fraction form
    836.76/1,155.12 = 542.36/x
  3. Step 3: Cross multiply
    836.76x = 1,155.12 × 542.36
  4. Step 4: Simplify right side
    836.76x = 626,490.88
  5. Step 5: Solve for x
    x = 626,490.88/836.76
  6. Step 6: Final answer
    x = 748.71

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