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Finding the Fourth Proportional to 1,520.88, 2,280.86 and 546.75

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Solution

The fourth proportional to 1,520.88, 2,280.86 and 546.75 is: 819.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.88 : 2,280.86 = 546.75 : x
  2. Step 2: Convert to fraction form
    1,520.88/2,280.86 = 546.75/x
  3. Step 3: Cross multiply
    1,520.88x = 2,280.86 × 546.75
  4. Step 4: Simplify right side
    1,520.88x = 1,247,059.52
  5. Step 5: Solve for x
    x = 1,247,059.52/1,520.88
  6. Step 6: Final answer
    x = 819.96

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