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Finding the Fourth Proportional to 1,165.73, 1,748.89 and 344.00

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Solution

The fourth proportional to 1,165.73, 1,748.89 and 344.00 is: 516.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.73 : 1,748.89 = 344.00 : x
  2. Step 2: Convert to fraction form
    1,165.73/1,748.89 = 344.00/x
  3. Step 3: Cross multiply
    1,165.73x = 1,748.89 × 344.00
  4. Step 4: Simplify right side
    1,165.73x = 601,621.67
  5. Step 5: Solve for x
    x = 601,621.67/1,165.73
  6. Step 6: Final answer
    x = 516.09

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