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Finding the Fourth Proportional to 872.40, 1,204 and 523.04

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Solution

The fourth proportional to 872.40, 1,204 and 523.04 is: 721.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.40 : 1,204 = 523.04 : x
  2. Step 2: Convert to fraction form
    872.40/1,204 = 523.04/x
  3. Step 3: Cross multiply
    872.40x = 1,204 × 523.04
  4. Step 4: Simplify right side
    872.40x = 629,740.16
  5. Step 5: Solve for x
    x = 629,740.16/872.40
  6. Step 6: Final answer
    x = 721.85

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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.