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Finding the Fourth Proportional to 998.28, 1,377.65 and 556.22

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Solution

The fourth proportional to 998.28, 1,377.65 and 556.22 is: 767.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.28 : 1,377.65 = 556.22 : x
  2. Step 2: Convert to fraction form
    998.28/1,377.65 = 556.22/x
  3. Step 3: Cross multiply
    998.28x = 1,377.65 × 556.22
  4. Step 4: Simplify right side
    998.28x = 766,276.48
  5. Step 5: Solve for x
    x = 766,276.48/998.28
  6. Step 6: Final answer
    x = 767.60

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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.