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Finding the Fourth Proportional to 1,099.31, 1,517.02 and 601.97

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Solution

The fourth proportional to 1,099.31, 1,517.02 and 601.97 is: 830.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.31 : 1,517.02 = 601.97 : x
  2. Step 2: Convert to fraction form
    1,099.31/1,517.02 = 601.97/x
  3. Step 3: Cross multiply
    1,099.31x = 1,517.02 × 601.97
  4. Step 4: Simplify right side
    1,099.31x = 913,200.53
  5. Step 5: Solve for x
    x = 913,200.53/1,099.31
  6. Step 6: Final answer
    x = 830.70

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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.