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Finding the Fourth Proportional to 824.86, 1,237.90 and 664.48

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Solution

The fourth proportional to 824.86, 1,237.90 and 664.48 is: 997.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.86 : 1,237.90 = 664.48 : x
  2. Step 2: Convert to fraction form
    824.86/1,237.90 = 664.48/x
  3. Step 3: Cross multiply
    824.86x = 1,237.90 × 664.48
  4. Step 4: Simplify right side
    824.86x = 822,556.47
  5. Step 5: Solve for x
    x = 822,556.47/824.86
  6. Step 6: Final answer
    x = 997.21

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