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Finding the Fourth Proportional to 1,098.72, 1,517.15 and 1,019.58

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Solution

The fourth proportional to 1,098.72, 1,517.15 and 1,019.58 is: 1,407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.72 : 1,517.15 = 1,019.58 : x
  2. Step 2: Convert to fraction form
    1,098.72/1,517.15 = 1,019.58/x
  3. Step 3: Cross multiply
    1,098.72x = 1,517.15 × 1,019.58
  4. Step 4: Simplify right side
    1,098.72x = 1,546,855.80
  5. Step 5: Solve for x
    x = 1,546,855.80/1,098.72
  6. Step 6: Final answer
    x = 1,407.87

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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.