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Finding the Fourth Proportional to 1,099.18, 1,517 and 614.16

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Solution

The fourth proportional to 1,099.18, 1,517 and 614.16 is: 847.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.18 : 1,517 = 614.16 : x
  2. Step 2: Convert to fraction form
    1,099.18/1,517 = 614.16/x
  3. Step 3: Cross multiply
    1,099.18x = 1,517 × 614.16
  4. Step 4: Simplify right side
    1,099.18x = 931,680.72
  5. Step 5: Solve for x
    x = 931,680.72/1,099.18
  6. Step 6: Final answer
    x = 847.61

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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.