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Finding the Fourth Proportional to 1,164.33, 1,743.80 and 1,129.77

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Solution

The fourth proportional to 1,164.33, 1,743.80 and 1,129.77 is: 1,692.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.33 : 1,743.80 = 1,129.77 : x
  2. Step 2: Convert to fraction form
    1,164.33/1,743.80 = 1,129.77/x
  3. Step 3: Cross multiply
    1,164.33x = 1,743.80 × 1,129.77
  4. Step 4: Simplify right side
    1,164.33x = 1,970,087.28
  5. Step 5: Solve for x
    x = 1,970,087.28/1,164.33
  6. Step 6: Final answer
    x = 1,692.04

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