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Finding the Fourth Proportional to 1,099.38, 1,516.67 and 656.97

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Solution

The fourth proportional to 1,099.38, 1,516.67 and 656.97 is: 906.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.38 : 1,516.67 = 656.97 : x
  2. Step 2: Convert to fraction form
    1,099.38/1,516.67 = 656.97/x
  3. Step 3: Cross multiply
    1,099.38x = 1,516.67 × 656.97
  4. Step 4: Simplify right side
    1,099.38x = 996,403.41
  5. Step 5: Solve for x
    x = 996,403.41/1,099.38
  6. Step 6: Final answer
    x = 906.33

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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.