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Finding the Fourth Proportional to 997.11, 1,494.92 and 688.08

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Solution

The fourth proportional to 997.11, 1,494.92 and 688.08 is: 1,031.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.11 : 1,494.92 = 688.08 : x
  2. Step 2: Convert to fraction form
    997.11/1,494.92 = 688.08/x
  3. Step 3: Cross multiply
    997.11x = 1,494.92 × 688.08
  4. Step 4: Simplify right side
    997.11x = 1,028,630.01
  5. Step 5: Solve for x
    x = 1,028,630.01/997.11
  6. Step 6: Final answer
    x = 1,031.61

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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.