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Finding the Fourth Proportional to 1,098.16, 1,516.94 and 878.68

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Solution

The fourth proportional to 1,098.16, 1,516.94 and 878.68 is: 1,213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.16 : 1,516.94 = 878.68 : x
  2. Step 2: Convert to fraction form
    1,098.16/1,516.94 = 878.68/x
  3. Step 3: Cross multiply
    1,098.16x = 1,516.94 × 878.68
  4. Step 4: Simplify right side
    1,098.16x = 1,332,904.84
  5. Step 5: Solve for x
    x = 1,332,904.84/1,098.16
  6. Step 6: Final answer
    x = 1,213.76

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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.