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Finding the Fourth Proportional to 681.01, 939.83 and 523.81

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Solution

The fourth proportional to 681.01, 939.83 and 523.81 is: 722.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.01 : 939.83 = 523.81 : x
  2. Step 2: Convert to fraction form
    681.01/939.83 = 523.81/x
  3. Step 3: Cross multiply
    681.01x = 939.83 × 523.81
  4. Step 4: Simplify right side
    681.01x = 492,289.73
  5. Step 5: Solve for x
    x = 492,289.73/681.01
  6. Step 6: Final answer
    x = 722.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.