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Finding the Fourth Proportional to 1,096.82, 1,645.42 and 549.02

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Solution

The fourth proportional to 1,096.82, 1,645.42 and 549.02 is: 823.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.82 : 1,645.42 = 549.02 : x
  2. Step 2: Convert to fraction form
    1,096.82/1,645.42 = 549.02/x
  3. Step 3: Cross multiply
    1,096.82x = 1,645.42 × 549.02
  4. Step 4: Simplify right side
    1,096.82x = 903,368.49
  5. Step 5: Solve for x
    x = 903,368.49/1,096.82
  6. Step 6: Final answer
    x = 823.63

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