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Finding the Fourth Proportional to 863.36, 1,286.32 and 843.92

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Solution

The fourth proportional to 863.36, 1,286.32 and 843.92 is: 1,257.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.36 : 1,286.32 = 843.92 : x
  2. Step 2: Convert to fraction form
    863.36/1,286.32 = 843.92/x
  3. Step 3: Cross multiply
    863.36x = 1,286.32 × 843.92
  4. Step 4: Simplify right side
    863.36x = 1,085,551.17
  5. Step 5: Solve for x
    x = 1,085,551.17/863.36
  6. Step 6: Final answer
    x = 1,257.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.