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Finding the Fourth Proportional to 681, 939.43 and 459.57

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Solution

The fourth proportional to 681, 939.43 and 459.57 is: 633.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    681 : 939.43 = 459.57 : x
  2. Step 2: Convert to fraction form
    681/939.43 = 459.57/x
  3. Step 3: Cross multiply
    681x = 939.43 × 459.57
  4. Step 4: Simplify right side
    681x = 431,733.85
  5. Step 5: Solve for x
    x = 431,733.85/681
  6. Step 6: Final answer
    x = 633.97

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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.