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Finding the Fourth Proportional to 992.26, 1,489.22 and 819.26

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Solution

The fourth proportional to 992.26, 1,489.22 and 819.26 is: 1,229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.26 : 1,489.22 = 819.26 : x
  2. Step 2: Convert to fraction form
    992.26/1,489.22 = 819.26/x
  3. Step 3: Cross multiply
    992.26x = 1,489.22 × 819.26
  4. Step 4: Simplify right side
    992.26x = 1,220,058.38
  5. Step 5: Solve for x
    x = 1,220,058.38/992.26
  6. Step 6: Final answer
    x = 1,229.58

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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.