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Finding the Fourth Proportional to 998.52, 1,377.92 and 556.43

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Solution

The fourth proportional to 998.52, 1,377.92 and 556.43 is: 767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.52 : 1,377.92 = 556.43 : x
  2. Step 2: Convert to fraction form
    998.52/1,377.92 = 556.43/x
  3. Step 3: Cross multiply
    998.52x = 1,377.92 × 556.43
  4. Step 4: Simplify right side
    998.52x = 766,713.24
  5. Step 5: Solve for x
    x = 766,713.24/998.52
  6. Step 6: Final answer
    x = 767.85

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