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Finding the Fourth Proportional to 1,391.64, 1,921.32 and 868.38

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Solution

The fourth proportional to 1,391.64, 1,921.32 and 868.38 is: 1,198.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.64 : 1,921.32 = 868.38 : x
  2. Step 2: Convert to fraction form
    1,391.64/1,921.32 = 868.38/x
  3. Step 3: Cross multiply
    1,391.64x = 1,921.32 × 868.38
  4. Step 4: Simplify right side
    1,391.64x = 1,668,435.86
  5. Step 5: Solve for x
    x = 1,668,435.86/1,391.64
  6. Step 6: Final answer
    x = 1,198.90

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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.