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Finding the Fourth Proportional to 1,008.22, 1,512.08 and 277.76

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Solution

The fourth proportional to 1,008.22, 1,512.08 and 277.76 is: 416.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.22 : 1,512.08 = 277.76 : x
  2. Step 2: Convert to fraction form
    1,008.22/1,512.08 = 277.76/x
  3. Step 3: Cross multiply
    1,008.22x = 1,512.08 × 277.76
  4. Step 4: Simplify right side
    1,008.22x = 419,995.34
  5. Step 5: Solve for x
    x = 419,995.34/1,008.22
  6. Step 6: Final answer
    x = 416.57

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