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Finding the Fourth Proportional to 1,433.86, 1,978.57 and 804.31

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Solution

The fourth proportional to 1,433.86, 1,978.57 and 804.31 is: 1,109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.86 : 1,978.57 = 804.31 : x
  2. Step 2: Convert to fraction form
    1,433.86/1,978.57 = 804.31/x
  3. Step 3: Cross multiply
    1,433.86x = 1,978.57 × 804.31
  4. Step 4: Simplify right side
    1,433.86x = 1,591,376.68
  5. Step 5: Solve for x
    x = 1,591,376.68/1,433.86
  6. Step 6: Final answer
    x = 1,109.85

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