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Finding the Fourth Proportional to 787.23, 1,180.67 and 231.80

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Solution

The fourth proportional to 787.23, 1,180.67 and 231.80 is: 347.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.23 : 1,180.67 = 231.80 : x
  2. Step 2: Convert to fraction form
    787.23/1,180.67 = 231.80/x
  3. Step 3: Cross multiply
    787.23x = 1,180.67 × 231.80
  4. Step 4: Simplify right side
    787.23x = 273,672.24
  5. Step 5: Solve for x
    x = 273,672.24/787.23
  6. Step 6: Final answer
    x = 347.64

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