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Finding the Fourth Proportional to 1,166.55, 1,741.27 and 1,020.75

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Solution

The fourth proportional to 1,166.55, 1,741.27 and 1,020.75 is: 1,523.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.55 : 1,741.27 = 1,020.75 : x
  2. Step 2: Convert to fraction form
    1,166.55/1,741.27 = 1,020.75/x
  3. Step 3: Cross multiply
    1,166.55x = 1,741.27 × 1,020.75
  4. Step 4: Simplify right side
    1,166.55x = 1,777,398.80
  5. Step 5: Solve for x
    x = 1,777,398.80/1,166.55
  6. Step 6: Final answer
    x = 1,523.64

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