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Finding the Fourth Proportional to 863.44, 1,286.57 and 821.59

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Solution

The fourth proportional to 863.44, 1,286.57 and 821.59 is: 1,224.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.44 : 1,286.57 = 821.59 : x
  2. Step 2: Convert to fraction form
    863.44/1,286.57 = 821.59/x
  3. Step 3: Cross multiply
    863.44x = 1,286.57 × 821.59
  4. Step 4: Simplify right side
    863.44x = 1,057,033.05
  5. Step 5: Solve for x
    x = 1,057,033.05/863.44
  6. Step 6: Final answer
    x = 1,224.22

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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.