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Finding the Fourth Proportional to 1,229.75, 1,843.41 and 579.32

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Solution

The fourth proportional to 1,229.75, 1,843.41 and 579.32 is: 868.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.75 : 1,843.41 = 579.32 : x
  2. Step 2: Convert to fraction form
    1,229.75/1,843.41 = 579.32/x
  3. Step 3: Cross multiply
    1,229.75x = 1,843.41 × 579.32
  4. Step 4: Simplify right side
    1,229.75x = 1,067,924.28
  5. Step 5: Solve for x
    x = 1,067,924.28/1,229.75
  6. Step 6: Final answer
    x = 868.41

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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.