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Finding the Fourth Proportional to 978.72, 1,349.67 and 839.31

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Solution

The fourth proportional to 978.72, 1,349.67 and 839.31 is: 1,157.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.72 : 1,349.67 = 839.31 : x
  2. Step 2: Convert to fraction form
    978.72/1,349.67 = 839.31/x
  3. Step 3: Cross multiply
    978.72x = 1,349.67 × 839.31
  4. Step 4: Simplify right side
    978.72x = 1,132,791.53
  5. Step 5: Solve for x
    x = 1,132,791.53/978.72
  6. Step 6: Final answer
    x = 1,157.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.