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Finding the Fourth Proportional to 1,029.44, 1,542.90 and 542.18

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Solution

The fourth proportional to 1,029.44, 1,542.90 and 542.18 is: 812.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.44 : 1,542.90 = 542.18 : x
  2. Step 2: Convert to fraction form
    1,029.44/1,542.90 = 542.18/x
  3. Step 3: Cross multiply
    1,029.44x = 1,542.90 × 542.18
  4. Step 4: Simplify right side
    1,029.44x = 836,529.52
  5. Step 5: Solve for x
    x = 836,529.52/1,029.44
  6. Step 6: Final answer
    x = 812.61

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Why These Related Problems?

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