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Finding the Fourth Proportional to 1,109.73, 1,664.59 and 379.31

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Solution

The fourth proportional to 1,109.73, 1,664.59 and 379.31 is: 568.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.73 : 1,664.59 = 379.31 : x
  2. Step 2: Convert to fraction form
    1,109.73/1,664.59 = 379.31/x
  3. Step 3: Cross multiply
    1,109.73x = 1,664.59 × 379.31
  4. Step 4: Simplify right side
    1,109.73x = 631,395.63
  5. Step 5: Solve for x
    x = 631,395.63/1,109.73
  6. Step 6: Final answer
    x = 568.96

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