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Finding the Fourth Proportional to 996.50, 1,375.86 and 665.30

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Solution

The fourth proportional to 996.50, 1,375.86 and 665.30 is: 918.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.50 : 1,375.86 = 665.30 : x
  2. Step 2: Convert to fraction form
    996.50/1,375.86 = 665.30/x
  3. Step 3: Cross multiply
    996.50x = 1,375.86 × 665.30
  4. Step 4: Simplify right side
    996.50x = 915,359.66
  5. Step 5: Solve for x
    x = 915,359.66/996.50
  6. Step 6: Final answer
    x = 918.57

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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.