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Finding the Fourth Proportional to 1,764.78, 2,645.31 and 724.32

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Solution

The fourth proportional to 1,764.78, 2,645.31 and 724.32 is: 1,085.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.78 : 2,645.31 = 724.32 : x
  2. Step 2: Convert to fraction form
    1,764.78/2,645.31 = 724.32/x
  3. Step 3: Cross multiply
    1,764.78x = 2,645.31 × 724.32
  4. Step 4: Simplify right side
    1,764.78x = 1,916,050.94
  5. Step 5: Solve for x
    x = 1,916,050.94/1,764.78
  6. Step 6: Final answer
    x = 1,085.72

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