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Finding the Fourth Proportional to 1,029.57, 1,542.25 and 507.97

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Solution

The fourth proportional to 1,029.57, 1,542.25 and 507.97 is: 760.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.57 : 1,542.25 = 507.97 : x
  2. Step 2: Convert to fraction form
    1,029.57/1,542.25 = 507.97/x
  3. Step 3: Cross multiply
    1,029.57x = 1,542.25 × 507.97
  4. Step 4: Simplify right side
    1,029.57x = 783,416.73
  5. Step 5: Solve for x
    x = 783,416.73/1,029.57
  6. Step 6: Final answer
    x = 760.92

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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.