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Finding the Fourth Proportional to 1,169.21, 1,752.92 and 706.88

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Solution

The fourth proportional to 1,169.21, 1,752.92 and 706.88 is: 1,059.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.21 : 1,752.92 = 706.88 : x
  2. Step 2: Convert to fraction form
    1,169.21/1,752.92 = 706.88/x
  3. Step 3: Cross multiply
    1,169.21x = 1,752.92 × 706.88
  4. Step 4: Simplify right side
    1,169.21x = 1,239,095.33
  5. Step 5: Solve for x
    x = 1,239,095.33/1,169.21
  6. Step 6: Final answer
    x = 1,059.78

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