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Finding the Fourth Proportional to 998.27, 1,377.24 and 599.78

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Solution

The fourth proportional to 998.27, 1,377.24 and 599.78 is: 827.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.27 : 1,377.24 = 599.78 : x
  2. Step 2: Convert to fraction form
    998.27/1,377.24 = 599.78/x
  3. Step 3: Cross multiply
    998.27x = 1,377.24 × 599.78
  4. Step 4: Simplify right side
    998.27x = 826,034.12
  5. Step 5: Solve for x
    x = 826,034.12/998.27
  6. Step 6: Final answer
    x = 827.47

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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.