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Finding the Fourth Proportional to 1,107.32, 1,661.06 and 522.91

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Solution

The fourth proportional to 1,107.32, 1,661.06 and 522.91 is: 784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.32 : 1,661.06 = 522.91 : x
  2. Step 2: Convert to fraction form
    1,107.32/1,661.06 = 522.91/x
  3. Step 3: Cross multiply
    1,107.32x = 1,661.06 × 522.91
  4. Step 4: Simplify right side
    1,107.32x = 868,575.98
  5. Step 5: Solve for x
    x = 868,575.98/1,107.32
  6. Step 6: Final answer
    x = 784.39

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