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Finding the Fourth Proportional to 766.78, 1,151.99 and 493.41

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Solution

The fourth proportional to 766.78, 1,151.99 and 493.41 is: 741.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.78 : 1,151.99 = 493.41 : x
  2. Step 2: Convert to fraction form
    766.78/1,151.99 = 493.41/x
  3. Step 3: Cross multiply
    766.78x = 1,151.99 × 493.41
  4. Step 4: Simplify right side
    766.78x = 568,403.39
  5. Step 5: Solve for x
    x = 568,403.39/766.78
  6. Step 6: Final answer
    x = 741.29

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