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Finding the Fourth Proportional to 978.70, 1,349.44 and 791.60

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Solution

The fourth proportional to 978.70, 1,349.44 and 791.60 is: 1,091.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.70 : 1,349.44 = 791.60 : x
  2. Step 2: Convert to fraction form
    978.70/1,349.44 = 791.60/x
  3. Step 3: Cross multiply
    978.70x = 1,349.44 × 791.60
  4. Step 4: Simplify right side
    978.70x = 1,068,216.70
  5. Step 5: Solve for x
    x = 1,068,216.70/978.70
  6. Step 6: Final answer
    x = 1,091.46

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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.