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Finding the Fourth Proportional to 687.45, 1,031.21 and 225.24

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Solution

The fourth proportional to 687.45, 1,031.21 and 225.24 is: 337.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.45 : 1,031.21 = 225.24 : x
  2. Step 2: Convert to fraction form
    687.45/1,031.21 = 225.24/x
  3. Step 3: Cross multiply
    687.45x = 1,031.21 × 225.24
  4. Step 4: Simplify right side
    687.45x = 232,268.61
  5. Step 5: Solve for x
    x = 232,268.61/687.45
  6. Step 6: Final answer
    x = 337.87

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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.