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Finding the Fourth Proportional to 687.88, 1,031.85 and 200.97

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Solution

The fourth proportional to 687.88, 1,031.85 and 200.97 is: 301.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.88 : 1,031.85 = 200.97 : x
  2. Step 2: Convert to fraction form
    687.88/1,031.85 = 200.97/x
  3. Step 3: Cross multiply
    687.88x = 1,031.85 × 200.97
  4. Step 4: Simplify right side
    687.88x = 207,369.89
  5. Step 5: Solve for x
    x = 207,369.89/687.88
  6. Step 6: Final answer
    x = 301.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.