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Finding the Fourth Proportional to 1,167.74, 1,749.24 and 542.15

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Solution

The fourth proportional to 1,167.74, 1,749.24 and 542.15 is: 812.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.74 : 1,749.24 = 542.15 : x
  2. Step 2: Convert to fraction form
    1,167.74/1,749.24 = 542.15/x
  3. Step 3: Cross multiply
    1,167.74x = 1,749.24 × 542.15
  4. Step 4: Simplify right side
    1,167.74x = 948,350.47
  5. Step 5: Solve for x
    x = 948,350.47/1,167.74
  6. Step 6: Final answer
    x = 812.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.