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Finding the Fourth Proportional to 768.92, 1,153.46 and 281.86

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Solution

The fourth proportional to 768.92, 1,153.46 and 281.86 is: 422.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.92 : 1,153.46 = 281.86 : x
  2. Step 2: Convert to fraction form
    768.92/1,153.46 = 281.86/x
  3. Step 3: Cross multiply
    768.92x = 1,153.46 × 281.86
  4. Step 4: Simplify right side
    768.92x = 325,114.24
  5. Step 5: Solve for x
    x = 325,114.24/768.92
  6. Step 6: Final answer
    x = 422.82

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