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Finding the Fourth Proportional to 996.75, 1,492.17 and 687.96

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Solution

The fourth proportional to 996.75, 1,492.17 and 687.96 is: 1,029.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.75 : 1,492.17 = 687.96 : x
  2. Step 2: Convert to fraction form
    996.75/1,492.17 = 687.96/x
  3. Step 3: Cross multiply
    996.75x = 1,492.17 × 687.96
  4. Step 4: Simplify right side
    996.75x = 1,026,553.27
  5. Step 5: Solve for x
    x = 1,026,553.27/996.75
  6. Step 6: Final answer
    x = 1,029.90

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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.