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Finding the Fourth Proportional to 764.92, 1,146.93 and 277.75

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Solution

The fourth proportional to 764.92, 1,146.93 and 277.75 is: 416.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.92 : 1,146.93 = 277.75 : x
  2. Step 2: Convert to fraction form
    764.92/1,146.93 = 277.75/x
  3. Step 3: Cross multiply
    764.92x = 1,146.93 × 277.75
  4. Step 4: Simplify right side
    764.92x = 318,559.81
  5. Step 5: Solve for x
    x = 318,559.81/764.92
  6. Step 6: Final answer
    x = 416.46

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