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Finding the Fourth Proportional to 994.29, 1,381.12 and 978.40

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Solution

The fourth proportional to 994.29, 1,381.12 and 978.40 is: 1,359.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.29 : 1,381.12 = 978.40 : x
  2. Step 2: Convert to fraction form
    994.29/1,381.12 = 978.40/x
  3. Step 3: Cross multiply
    994.29x = 1,381.12 × 978.40
  4. Step 4: Simplify right side
    994.29x = 1,351,287.86
  5. Step 5: Solve for x
    x = 1,351,287.86/994.29
  6. Step 6: Final answer
    x = 1,359.04

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.