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Finding the Fourth Proportional to 1,160.08, 1,739.76 and 338.43

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Solution

The fourth proportional to 1,160.08, 1,739.76 and 338.43 is: 507.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.08 : 1,739.76 = 338.43 : x
  2. Step 2: Convert to fraction form
    1,160.08/1,739.76 = 338.43/x
  3. Step 3: Cross multiply
    1,160.08x = 1,739.76 × 338.43
  4. Step 4: Simplify right side
    1,160.08x = 588,786.98
  5. Step 5: Solve for x
    x = 588,786.98/1,160.08
  6. Step 6: Final answer
    x = 507.54

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