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Finding the Fourth Proportional to 687.45, 1,031.20 and 200.54

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Solution

The fourth proportional to 687.45, 1,031.20 and 200.54 is: 300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.45 : 1,031.20 = 200.54 : x
  2. Step 2: Convert to fraction form
    687.45/1,031.20 = 200.54/x
  3. Step 3: Cross multiply
    687.45x = 1,031.20 × 200.54
  4. Step 4: Simplify right side
    687.45x = 206,798.92
  5. Step 5: Solve for x
    x = 206,798.92/687.45
  6. Step 6: Final answer
    x = 300.82

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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.