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Finding the Fourth Proportional to 1,099.98, 1,517.67 and 680.13

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Solution

The fourth proportional to 1,099.98, 1,517.67 and 680.13 is: 938.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.98 : 1,517.67 = 680.13 : x
  2. Step 2: Convert to fraction form
    1,099.98/1,517.67 = 680.13/x
  3. Step 3: Cross multiply
    1,099.98x = 1,517.67 × 680.13
  4. Step 4: Simplify right side
    1,099.98x = 1,032,212.90
  5. Step 5: Solve for x
    x = 1,032,212.90/1,099.98
  6. Step 6: Final answer
    x = 938.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.