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Finding the Fourth Proportional to 1,098.97, 1,515.98 and 950.19

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Solution

The fourth proportional to 1,098.97, 1,515.98 and 950.19 is: 1,310.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.97 : 1,515.98 = 950.19 : x
  2. Step 2: Convert to fraction form
    1,098.97/1,515.98 = 950.19/x
  3. Step 3: Cross multiply
    1,098.97x = 1,515.98 × 950.19
  4. Step 4: Simplify right side
    1,098.97x = 1,440,469.04
  5. Step 5: Solve for x
    x = 1,440,469.04/1,098.97
  6. Step 6: Final answer
    x = 1,310.74

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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.