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Finding the Fourth Proportional to 1,107.03, 1,660.68 and 458.22

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Solution

The fourth proportional to 1,107.03, 1,660.68 and 458.22 is: 687.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.03 : 1,660.68 = 458.22 : x
  2. Step 2: Convert to fraction form
    1,107.03/1,660.68 = 458.22/x
  3. Step 3: Cross multiply
    1,107.03x = 1,660.68 × 458.22
  4. Step 4: Simplify right side
    1,107.03x = 760,956.79
  5. Step 5: Solve for x
    x = 760,956.79/1,107.03
  6. Step 6: Final answer
    x = 687.39

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