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Finding the Fourth Proportional to 1,016.82, 1,522.80 and 553.91

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Solution

The fourth proportional to 1,016.82, 1,522.80 and 553.91 is: 829.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.82 : 1,522.80 = 553.91 : x
  2. Step 2: Convert to fraction form
    1,016.82/1,522.80 = 553.91/x
  3. Step 3: Cross multiply
    1,016.82x = 1,522.80 × 553.91
  4. Step 4: Simplify right side
    1,016.82x = 843,486.53
  5. Step 5: Solve for x
    x = 843,486.53/1,016.82
  6. Step 6: Final answer
    x = 829.53

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