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Finding the Fourth Proportional to 681.66, 940.28 and 516.51

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Solution

The fourth proportional to 681.66, 940.28 and 516.51 is: 712.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.66 : 940.28 = 516.51 : x
  2. Step 2: Convert to fraction form
    681.66/940.28 = 516.51/x
  3. Step 3: Cross multiply
    681.66x = 940.28 × 516.51
  4. Step 4: Simplify right side
    681.66x = 485,661.44
  5. Step 5: Solve for x
    x = 485,661.44/681.66
  6. Step 6: Final answer
    x = 712.47

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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.