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Finding the Fourth Proportional to 998, 1,375.92 and 872.52

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Solution

The fourth proportional to 998, 1,375.92 and 872.52 is: 1,202.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    998 : 1,375.92 = 872.52 : x
  2. Step 2: Convert to fraction form
    998/1,375.92 = 872.52/x
  3. Step 3: Cross multiply
    998x = 1,375.92 × 872.52
  4. Step 4: Simplify right side
    998x = 1,200,517.72
  5. Step 5: Solve for x
    x = 1,200,517.72/998
  6. Step 6: Final answer
    x = 1,202.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.