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Finding the Fourth Proportional to 1,174.14, 1,618.98 and 878.92

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Solution

The fourth proportional to 1,174.14, 1,618.98 and 878.92 is: 1,211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.14 : 1,618.98 = 878.92 : x
  2. Step 2: Convert to fraction form
    1,174.14/1,618.98 = 878.92/x
  3. Step 3: Cross multiply
    1,174.14x = 1,618.98 × 878.92
  4. Step 4: Simplify right side
    1,174.14x = 1,422,953.90
  5. Step 5: Solve for x
    x = 1,422,953.90/1,174.14
  6. Step 6: Final answer
    x = 1,211.91

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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.