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Finding the Fourth Proportional to 687.64, 1,031.16 and 225.28

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Solution

The fourth proportional to 687.64, 1,031.16 and 225.28 is: 337.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.64 : 1,031.16 = 225.28 : x
  2. Step 2: Convert to fraction form
    687.64/1,031.16 = 225.28/x
  3. Step 3: Cross multiply
    687.64x = 1,031.16 × 225.28
  4. Step 4: Simplify right side
    687.64x = 232,299.72
  5. Step 5: Solve for x
    x = 232,299.72/687.64
  6. Step 6: Final answer
    x = 337.82

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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.