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Finding the Fourth Proportional to 687.59, 1,031.25 and 225.39

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Solution

The fourth proportional to 687.59, 1,031.25 and 225.39 is: 338.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.59 : 1,031.25 = 225.39 : x
  2. Step 2: Convert to fraction form
    687.59/1,031.25 = 225.39/x
  3. Step 3: Cross multiply
    687.59x = 1,031.25 × 225.39
  4. Step 4: Simplify right side
    687.59x = 232,433.44
  5. Step 5: Solve for x
    x = 232,433.44/687.59
  6. Step 6: Final answer
    x = 338.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.