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Finding the Fourth Proportional to 1,032, 1,545.36 and 543.97

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Solution

The fourth proportional to 1,032, 1,545.36 and 543.97 is: 814.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032 : 1,545.36 = 543.97 : x
  2. Step 2: Convert to fraction form
    1,032/1,545.36 = 543.97/x
  3. Step 3: Cross multiply
    1,032x = 1,545.36 × 543.97
  4. Step 4: Simplify right side
    1,032x = 840,629.48
  5. Step 5: Solve for x
    x = 840,629.48/1,032
  6. Step 6: Final answer
    x = 814.56

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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.