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Finding the Fourth Proportional to 681.39, 940.92 and 506.43

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Solution

The fourth proportional to 681.39, 940.92 and 506.43 is: 699.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.39 : 940.92 = 506.43 : x
  2. Step 2: Convert to fraction form
    681.39/940.92 = 506.43/x
  3. Step 3: Cross multiply
    681.39x = 940.92 × 506.43
  4. Step 4: Simplify right side
    681.39x = 476,510.12
  5. Step 5: Solve for x
    x = 476,510.12/681.39
  6. Step 6: Final answer
    x = 699.32

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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.