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Finding the Fourth Proportional to 997.75, 1,493.68 and 688.95

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Solution

The fourth proportional to 997.75, 1,493.68 and 688.95 is: 1,031.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.75 : 1,493.68 = 688.95 : x
  2. Step 2: Convert to fraction form
    997.75/1,493.68 = 688.95/x
  3. Step 3: Cross multiply
    997.75x = 1,493.68 × 688.95
  4. Step 4: Simplify right side
    997.75x = 1,029,070.84
  5. Step 5: Solve for x
    x = 1,029,070.84/997.75
  6. Step 6: Final answer
    x = 1,031.39

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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.