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Finding the Fourth Proportional to 1,204.78, 1,806.24 and 474.86

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Solution

The fourth proportional to 1,204.78, 1,806.24 and 474.86 is: 711.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.78 : 1,806.24 = 474.86 : x
  2. Step 2: Convert to fraction form
    1,204.78/1,806.24 = 474.86/x
  3. Step 3: Cross multiply
    1,204.78x = 1,806.24 × 474.86
  4. Step 4: Simplify right side
    1,204.78x = 857,711.13
  5. Step 5: Solve for x
    x = 857,711.13/1,204.78
  6. Step 6: Final answer
    x = 711.92

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