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Finding the Fourth Proportional to 837.59, 1,155.67 and 542.81

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Solution

The fourth proportional to 837.59, 1,155.67 and 542.81 is: 748.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.59 : 1,155.67 = 542.81 : x
  2. Step 2: Convert to fraction form
    837.59/1,155.67 = 542.81/x
  3. Step 3: Cross multiply
    837.59x = 1,155.67 × 542.81
  4. Step 4: Simplify right side
    837.59x = 627,310.76
  5. Step 5: Solve for x
    x = 627,310.76/837.59
  6. Step 6: Final answer
    x = 748.95

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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.