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Finding the Fourth Proportional to 998.29, 1,377.60 and 556.19

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Solution

The fourth proportional to 998.29, 1,377.60 and 556.19 is: 767.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.29 : 1,377.60 = 556.19 : x
  2. Step 2: Convert to fraction form
    998.29/1,377.60 = 556.19/x
  3. Step 3: Cross multiply
    998.29x = 1,377.60 × 556.19
  4. Step 4: Simplify right side
    998.29x = 766,200.46
  5. Step 5: Solve for x
    x = 766,200.46/998.29
  6. Step 6: Final answer
    x = 767.52

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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.