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Finding the Fourth Proportional to 1,163.67, 1,744.80 and 469.77

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Solution

The fourth proportional to 1,163.67, 1,744.80 and 469.77 is: 704.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.67 : 1,744.80 = 469.77 : x
  2. Step 2: Convert to fraction form
    1,163.67/1,744.80 = 469.77/x
  3. Step 3: Cross multiply
    1,163.67x = 1,744.80 × 469.77
  4. Step 4: Simplify right side
    1,163.67x = 819,654.70
  5. Step 5: Solve for x
    x = 819,654.70/1,163.67
  6. Step 6: Final answer
    x = 704.37

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