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Finding the Fourth Proportional to 1,566.27, 2,348.72 and 744.78

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Solution

The fourth proportional to 1,566.27, 2,348.72 and 744.78 is: 1,116.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.27 : 2,348.72 = 744.78 : x
  2. Step 2: Convert to fraction form
    1,566.27/2,348.72 = 744.78/x
  3. Step 3: Cross multiply
    1,566.27x = 2,348.72 × 744.78
  4. Step 4: Simplify right side
    1,566.27x = 1,749,279.68
  5. Step 5: Solve for x
    x = 1,749,279.68/1,566.27
  6. Step 6: Final answer
    x = 1,116.84

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