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Finding the Fourth Proportional to 989.97, 1,481.85 and 680.01

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Solution

The fourth proportional to 989.97, 1,481.85 and 680.01 is: 1,017.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.97 : 1,481.85 = 680.01 : x
  2. Step 2: Convert to fraction form
    989.97/1,481.85 = 680.01/x
  3. Step 3: Cross multiply
    989.97x = 1,481.85 × 680.01
  4. Step 4: Simplify right side
    989.97x = 1,007,672.82
  5. Step 5: Solve for x
    x = 1,007,672.82/989.97
  6. Step 6: Final answer
    x = 1,017.88

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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.