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Finding the Fourth Proportional to 1,022.25, 1,532.85 and 363.88

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Solution

The fourth proportional to 1,022.25, 1,532.85 and 363.88 is: 545.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.25 : 1,532.85 = 363.88 : x
  2. Step 2: Convert to fraction form
    1,022.25/1,532.85 = 363.88/x
  3. Step 3: Cross multiply
    1,022.25x = 1,532.85 × 363.88
  4. Step 4: Simplify right side
    1,022.25x = 557,766.41
  5. Step 5: Solve for x
    x = 557,766.41/1,022.25
  6. Step 6: Final answer
    x = 545.62

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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.