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Finding the Fourth Proportional to 872.58, 1,204.08 and 523.20

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Solution

The fourth proportional to 872.58, 1,204.08 and 523.20 is: 721.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.58 : 1,204.08 = 523.20 : x
  2. Step 2: Convert to fraction form
    872.58/1,204.08 = 523.20/x
  3. Step 3: Cross multiply
    872.58x = 1,204.08 × 523.20
  4. Step 4: Simplify right side
    872.58x = 629,974.66
  5. Step 5: Solve for x
    x = 629,974.66/872.58
  6. Step 6: Final answer
    x = 721.97

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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.