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Finding the Fourth Proportional to 764.31, 1,146.47 and 187.19

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Solution

The fourth proportional to 764.31, 1,146.47 and 187.19 is: 280.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.31 : 1,146.47 = 187.19 : x
  2. Step 2: Convert to fraction form
    764.31/1,146.47 = 187.19/x
  3. Step 3: Cross multiply
    764.31x = 1,146.47 × 187.19
  4. Step 4: Simplify right side
    764.31x = 214,607.72
  5. Step 5: Solve for x
    x = 214,607.72/764.31
  6. Step 6: Final answer
    x = 280.79

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