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Finding the Fourth Proportional to 872.52, 1,204.10 and 523.24

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Solution

The fourth proportional to 872.52, 1,204.10 and 523.24 is: 722.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.52 : 1,204.10 = 523.24 : x
  2. Step 2: Convert to fraction form
    872.52/1,204.10 = 523.24/x
  3. Step 3: Cross multiply
    872.52x = 1,204.10 × 523.24
  4. Step 4: Simplify right side
    872.52x = 630,033.28
  5. Step 5: Solve for x
    x = 630,033.28/872.52
  6. Step 6: Final answer
    x = 722.08

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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.