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Finding the Fourth Proportional to 998.78, 1,498.43 and 982.25

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Solution

The fourth proportional to 998.78, 1,498.43 and 982.25 is: 1,473.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.78 : 1,498.43 = 982.25 : x
  2. Step 2: Convert to fraction form
    998.78/1,498.43 = 982.25/x
  3. Step 3: Cross multiply
    998.78x = 1,498.43 × 982.25
  4. Step 4: Simplify right side
    998.78x = 1,471,832.87
  5. Step 5: Solve for x
    x = 1,471,832.87/998.78
  6. Step 6: Final answer
    x = 1,473.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.