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Finding the Fourth Proportional to 1,030.43, 1,545.23 and 381.02

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Solution

The fourth proportional to 1,030.43, 1,545.23 and 381.02 is: 571.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.43 : 1,545.23 = 381.02 : x
  2. Step 2: Convert to fraction form
    1,030.43/1,545.23 = 381.02/x
  3. Step 3: Cross multiply
    1,030.43x = 1,545.23 × 381.02
  4. Step 4: Simplify right side
    1,030.43x = 588,753.90
  5. Step 5: Solve for x
    x = 588,753.90/1,030.43
  6. Step 6: Final answer
    x = 571.37

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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.