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Finding the Fourth Proportional to 867.86, 1,198.29 and 681.02

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Solution

The fourth proportional to 867.86, 1,198.29 and 681.02 is: 940.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.86 : 1,198.29 = 681.02 : x
  2. Step 2: Convert to fraction form
    867.86/1,198.29 = 681.02/x
  3. Step 3: Cross multiply
    867.86x = 1,198.29 × 681.02
  4. Step 4: Simplify right side
    867.86x = 816,059.46
  5. Step 5: Solve for x
    x = 816,059.46/867.86
  6. Step 6: Final answer
    x = 940.31

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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.