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Finding the Fourth Proportional to 1,107.34, 1,661.04 and 458.12

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Solution

The fourth proportional to 1,107.34, 1,661.04 and 458.12 is: 687.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.34 : 1,661.04 = 458.12 : x
  2. Step 2: Convert to fraction form
    1,107.34/1,661.04 = 458.12/x
  3. Step 3: Cross multiply
    1,107.34x = 1,661.04 × 458.12
  4. Step 4: Simplify right side
    1,107.34x = 760,955.64
  5. Step 5: Solve for x
    x = 760,955.64/1,107.34
  6. Step 6: Final answer
    x = 687.19

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