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Finding the Fourth Proportional to 994.60, 1,372.44 and 799.12

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Solution

The fourth proportional to 994.60, 1,372.44 and 799.12 is: 1,102.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.60 : 1,372.44 = 799.12 : x
  2. Step 2: Convert to fraction form
    994.60/1,372.44 = 799.12/x
  3. Step 3: Cross multiply
    994.60x = 1,372.44 × 799.12
  4. Step 4: Simplify right side
    994.60x = 1,096,744.25
  5. Step 5: Solve for x
    x = 1,096,744.25/994.60
  6. Step 6: Final answer
    x = 1,102.70

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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.