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Finding the Fourth Proportional to 687.59, 1,031.28 and 200.54

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Solution

The fourth proportional to 687.59, 1,031.28 and 200.54 is: 300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.59 : 1,031.28 = 200.54 : x
  2. Step 2: Convert to fraction form
    687.59/1,031.28 = 200.54/x
  3. Step 3: Cross multiply
    687.59x = 1,031.28 × 200.54
  4. Step 4: Simplify right side
    687.59x = 206,812.89
  5. Step 5: Solve for x
    x = 206,812.89/687.59
  6. Step 6: Final answer
    x = 300.78

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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.