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Finding the Fourth Proportional to 1,157.74, 1,736.60 and 541.74

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Solution

The fourth proportional to 1,157.74, 1,736.60 and 541.74 is: 812.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.74 : 1,736.60 = 541.74 : x
  2. Step 2: Convert to fraction form
    1,157.74/1,736.60 = 541.74/x
  3. Step 3: Cross multiply
    1,157.74x = 1,736.60 × 541.74
  4. Step 4: Simplify right side
    1,157.74x = 940,785.68
  5. Step 5: Solve for x
    x = 940,785.68/1,157.74
  6. Step 6: Final answer
    x = 812.61

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