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Finding the Fourth Proportional to 1,522.85, 2,283.80 and 548.96

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Solution

The fourth proportional to 1,522.85, 2,283.80 and 548.96 is: 823.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.85 : 2,283.80 = 548.96 : x
  2. Step 2: Convert to fraction form
    1,522.85/2,283.80 = 548.96/x
  3. Step 3: Cross multiply
    1,522.85x = 2,283.80 × 548.96
  4. Step 4: Simplify right side
    1,522.85x = 1,253,700.68
  5. Step 5: Solve for x
    x = 1,253,700.68/1,522.85
  6. Step 6: Final answer
    x = 823.26

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