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Finding the Fourth Proportional to 723.92, 1,085.88 and 261.76

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Solution

The fourth proportional to 723.92, 1,085.88 and 261.76 is: 392.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.92 : 1,085.88 = 261.76 : x
  2. Step 2: Convert to fraction form
    723.92/1,085.88 = 261.76/x
  3. Step 3: Cross multiply
    723.92x = 1,085.88 × 261.76
  4. Step 4: Simplify right side
    723.92x = 284,239.95
  5. Step 5: Solve for x
    x = 284,239.95/723.92
  6. Step 6: Final answer
    x = 392.64

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