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Finding the Fourth Proportional to 687.97, 1,031.96 and 255.13

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Solution

The fourth proportional to 687.97, 1,031.96 and 255.13 is: 382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.97 : 1,031.96 = 255.13 : x
  2. Step 2: Convert to fraction form
    687.97/1,031.96 = 255.13/x
  3. Step 3: Cross multiply
    687.97x = 1,031.96 × 255.13
  4. Step 4: Simplify right side
    687.97x = 263,283.95
  5. Step 5: Solve for x
    x = 263,283.95/687.97
  6. Step 6: Final answer
    x = 382.70

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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.