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Finding the Fourth Proportional to 1,107.75, 1,661.64 and 458.04

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Solution

The fourth proportional to 1,107.75, 1,661.64 and 458.04 is: 687.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.75 : 1,661.64 = 458.04 : x
  2. Step 2: Convert to fraction form
    1,107.75/1,661.64 = 458.04/x
  3. Step 3: Cross multiply
    1,107.75x = 1,661.64 × 458.04
  4. Step 4: Simplify right side
    1,107.75x = 761,097.59
  5. Step 5: Solve for x
    x = 761,097.59/1,107.75
  6. Step 6: Final answer
    x = 687.07

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