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Finding the Fourth Proportional to 774.28, 1,161.66 and 581.80

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Solution

The fourth proportional to 774.28, 1,161.66 and 581.80 is: 872.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.28 : 1,161.66 = 581.80 : x
  2. Step 2: Convert to fraction form
    774.28/1,161.66 = 581.80/x
  3. Step 3: Cross multiply
    774.28x = 1,161.66 × 581.80
  4. Step 4: Simplify right side
    774.28x = 675,853.79
  5. Step 5: Solve for x
    x = 675,853.79/774.28
  6. Step 6: Final answer
    x = 872.88

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