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Finding the Fourth Proportional to 680.80, 1,020.38 and 391.63

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Solution

The fourth proportional to 680.80, 1,020.38 and 391.63 is: 586.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.80 : 1,020.38 = 391.63 : x
  2. Step 2: Convert to fraction form
    680.80/1,020.38 = 391.63/x
  3. Step 3: Cross multiply
    680.80x = 1,020.38 × 391.63
  4. Step 4: Simplify right side
    680.80x = 399,607.30
  5. Step 5: Solve for x
    x = 399,607.30/680.80
  6. Step 6: Final answer
    x = 586.97

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