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Finding the Fourth Proportional to 1,229.78, 1,843.45 and 580.97

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Solution

The fourth proportional to 1,229.78, 1,843.45 and 580.97 is: 870.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.78 : 1,843.45 = 580.97 : x
  2. Step 2: Convert to fraction form
    1,229.78/1,843.45 = 580.97/x
  3. Step 3: Cross multiply
    1,229.78x = 1,843.45 × 580.97
  4. Step 4: Simplify right side
    1,229.78x = 1,070,978.48
  5. Step 5: Solve for x
    x = 1,070,978.48/1,229.78
  6. Step 6: Final answer
    x = 870.87

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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.