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Finding the Fourth Proportional to 1,469.93, 2,205.27 and 689.78

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Solution

The fourth proportional to 1,469.93, 2,205.27 and 689.78 is: 1,034.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.93 : 2,205.27 = 689.78 : x
  2. Step 2: Convert to fraction form
    1,469.93/2,205.27 = 689.78/x
  3. Step 3: Cross multiply
    1,469.93x = 2,205.27 × 689.78
  4. Step 4: Simplify right side
    1,469.93x = 1,521,147.69
  5. Step 5: Solve for x
    x = 1,521,147.69/1,469.93
  6. Step 6: Final answer
    x = 1,034.85

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