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Finding the Fourth Proportional to 772, 1,158 and 259.04

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Solution

The fourth proportional to 772, 1,158 and 259.04 is: 388.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    772 : 1,158 = 259.04 : x
  2. Step 2: Convert to fraction form
    772/1,158 = 259.04/x
  3. Step 3: Cross multiply
    772x = 1,158 × 259.04
  4. Step 4: Simplify right side
    772x = 299,968.32
  5. Step 5: Solve for x
    x = 299,968.32/772
  6. Step 6: Final answer
    x = 388.56

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