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Finding the Fourth Proportional to 996.44, 1,373.63 and 878.92

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Solution

The fourth proportional to 996.44, 1,373.63 and 878.92 is: 1,211.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.44 : 1,373.63 = 878.92 : x
  2. Step 2: Convert to fraction form
    996.44/1,373.63 = 878.92/x
  3. Step 3: Cross multiply
    996.44x = 1,373.63 × 878.92
  4. Step 4: Simplify right side
    996.44x = 1,207,303.05
  5. Step 5: Solve for x
    x = 1,207,303.05/996.44
  6. Step 6: Final answer
    x = 1,211.62

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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.