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Finding the Fourth Proportional to 725.91, 1,087.80 and 543.21

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Solution

The fourth proportional to 725.91, 1,087.80 and 543.21 is: 814.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.91 : 1,087.80 = 543.21 : x
  2. Step 2: Convert to fraction form
    725.91/1,087.80 = 543.21/x
  3. Step 3: Cross multiply
    725.91x = 1,087.80 × 543.21
  4. Step 4: Simplify right side
    725.91x = 590,903.84
  5. Step 5: Solve for x
    x = 590,903.84/725.91
  6. Step 6: Final answer
    x = 814.02

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