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Finding the Fourth Proportional to 998.33, 1,377.66 and 556.22

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Solution

The fourth proportional to 998.33, 1,377.66 and 556.22 is: 767.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.33 : 1,377.66 = 556.22 : x
  2. Step 2: Convert to fraction form
    998.33/1,377.66 = 556.22/x
  3. Step 3: Cross multiply
    998.33x = 1,377.66 × 556.22
  4. Step 4: Simplify right side
    998.33x = 766,285.49
  5. Step 5: Solve for x
    x = 766,285.49/998.33
  6. Step 6: Final answer
    x = 767.57

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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.