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Finding the Fourth Proportional to 681.26, 940.49 and 461.37

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Solution

The fourth proportional to 681.26, 940.49 and 461.37 is: 636.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.26 : 940.49 = 461.37 : x
  2. Step 2: Convert to fraction form
    681.26/940.49 = 461.37/x
  3. Step 3: Cross multiply
    681.26x = 940.49 × 461.37
  4. Step 4: Simplify right side
    681.26x = 433,913.87
  5. Step 5: Solve for x
    x = 433,913.87/681.26
  6. Step 6: Final answer
    x = 636.93

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