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Finding the Fourth Proportional to 769.92, 1,154.79 and 192.75

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Solution

The fourth proportional to 769.92, 1,154.79 and 192.75 is: 289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.92 : 1,154.79 = 192.75 : x
  2. Step 2: Convert to fraction form
    769.92/1,154.79 = 192.75/x
  3. Step 3: Cross multiply
    769.92x = 1,154.79 × 192.75
  4. Step 4: Simplify right side
    769.92x = 222,585.77
  5. Step 5: Solve for x
    x = 222,585.77/769.92
  6. Step 6: Final answer
    x = 289.10

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