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Finding the Fourth Proportional to 681.96, 940.70 and 445.56

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Solution

The fourth proportional to 681.96, 940.70 and 445.56 is: 614.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.96 : 940.70 = 445.56 : x
  2. Step 2: Convert to fraction form
    681.96/940.70 = 445.56/x
  3. Step 3: Cross multiply
    681.96x = 940.70 × 445.56
  4. Step 4: Simplify right side
    681.96x = 419,138.29
  5. Step 5: Solve for x
    x = 419,138.29/681.96
  6. Step 6: Final answer
    x = 614.61

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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.