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Finding the Fourth Proportional to 872.57, 1,204.08 and 523.19

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Solution

The fourth proportional to 872.57, 1,204.08 and 523.19 is: 721.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.57 : 1,204.08 = 523.19 : x
  2. Step 2: Convert to fraction form
    872.57/1,204.08 = 523.19/x
  3. Step 3: Cross multiply
    872.57x = 1,204.08 × 523.19
  4. Step 4: Simplify right side
    872.57x = 629,962.62
  5. Step 5: Solve for x
    x = 629,962.62/872.57
  6. Step 6: Final answer
    x = 721.96

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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.