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Finding the Fourth Proportional to 978.27, 1,349.25 and 584.88

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Solution

The fourth proportional to 978.27, 1,349.25 and 584.88 is: 806.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.27 : 1,349.25 = 584.88 : x
  2. Step 2: Convert to fraction form
    978.27/1,349.25 = 584.88/x
  3. Step 3: Cross multiply
    978.27x = 1,349.25 × 584.88
  4. Step 4: Simplify right side
    978.27x = 789,149.34
  5. Step 5: Solve for x
    x = 789,149.34/978.27
  6. Step 6: Final answer
    x = 806.68

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