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Finding the Fourth Proportional to 996.86, 1,375.43 and 697.73

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Solution

The fourth proportional to 996.86, 1,375.43 and 697.73 is: 962.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.86 : 1,375.43 = 697.73 : x
  2. Step 2: Convert to fraction form
    996.86/1,375.43 = 697.73/x
  3. Step 3: Cross multiply
    996.86x = 1,375.43 × 697.73
  4. Step 4: Simplify right side
    996.86x = 959,668.41
  5. Step 5: Solve for x
    x = 959,668.41/996.86
  6. Step 6: Final answer
    x = 962.70

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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.