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Finding the Fourth Proportional to 783, 1,174.64 and 262.88

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Solution

The fourth proportional to 783, 1,174.64 and 262.88 is: 394.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    783 : 1,174.64 = 262.88 : x
  2. Step 2: Convert to fraction form
    783/1,174.64 = 262.88/x
  3. Step 3: Cross multiply
    783x = 1,174.64 × 262.88
  4. Step 4: Simplify right side
    783x = 308,789.36
  5. Step 5: Solve for x
    x = 308,789.36/783
  6. Step 6: Final answer
    x = 394.37

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