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Finding the Fourth Proportional to 1,277.44, 1,916.88 and 546.96

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Solution

The fourth proportional to 1,277.44, 1,916.88 and 546.96 is: 820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.44 : 1,916.88 = 546.96 : x
  2. Step 2: Convert to fraction form
    1,277.44/1,916.88 = 546.96/x
  3. Step 3: Cross multiply
    1,277.44x = 1,916.88 × 546.96
  4. Step 4: Simplify right side
    1,277.44x = 1,048,456.68
  5. Step 5: Solve for x
    x = 1,048,456.68/1,277.44
  6. Step 6: Final answer
    x = 820.75

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