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Finding the Fourth Proportional to 996.89, 1,375.94 and 646.97

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Solution

The fourth proportional to 996.89, 1,375.94 and 646.97 is: 892.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.89 : 1,375.94 = 646.97 : x
  2. Step 2: Convert to fraction form
    996.89/1,375.94 = 646.97/x
  3. Step 3: Cross multiply
    996.89x = 1,375.94 × 646.97
  4. Step 4: Simplify right side
    996.89x = 890,188.67
  5. Step 5: Solve for x
    x = 890,188.67/996.89
  6. Step 6: Final answer
    x = 892.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.