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Finding the Fourth Proportional to 996.88, 1,375.52 and 682.40

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Solution

The fourth proportional to 996.88, 1,375.52 and 682.40 is: 941.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.88 : 1,375.52 = 682.40 : x
  2. Step 2: Convert to fraction form
    996.88/1,375.52 = 682.40/x
  3. Step 3: Cross multiply
    996.88x = 1,375.52 × 682.40
  4. Step 4: Simplify right side
    996.88x = 938,654.85
  5. Step 5: Solve for x
    x = 938,654.85/996.88
  6. Step 6: Final answer
    x = 941.59

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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.