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Finding the Fourth Proportional to 829.92, 1,243.62 and 396.48

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Solution

The fourth proportional to 829.92, 1,243.62 and 396.48 is: 594.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.92 : 1,243.62 = 396.48 : x
  2. Step 2: Convert to fraction form
    829.92/1,243.62 = 396.48/x
  3. Step 3: Cross multiply
    829.92x = 1,243.62 × 396.48
  4. Step 4: Simplify right side
    829.92x = 493,070.46
  5. Step 5: Solve for x
    x = 493,070.46/829.92
  6. Step 6: Final answer
    x = 594.12

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