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Finding the Fourth Proportional to 1,096.04, 1,643.90 and 365.64

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Solution

The fourth proportional to 1,096.04, 1,643.90 and 365.64 is: 548.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.04 : 1,643.90 = 365.64 : x
  2. Step 2: Convert to fraction form
    1,096.04/1,643.90 = 365.64/x
  3. Step 3: Cross multiply
    1,096.04x = 1,643.90 × 365.64
  4. Step 4: Simplify right side
    1,096.04x = 601,073.77
  5. Step 5: Solve for x
    x = 601,073.77/1,096.04
  6. Step 6: Final answer
    x = 548.41

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