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Finding the Fourth Proportional to 781, 1,171.64 and 260.88

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Solution

The fourth proportional to 781, 1,171.64 and 260.88 is: 391.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    781 : 1,171.64 = 260.88 : x
  2. Step 2: Convert to fraction form
    781/1,171.64 = 260.88/x
  3. Step 3: Cross multiply
    781x = 1,171.64 × 260.88
  4. Step 4: Simplify right side
    781x = 305,657.44
  5. Step 5: Solve for x
    x = 305,657.44/781
  6. Step 6: Final answer
    x = 391.37

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