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Finding the Fourth Proportional to 681.96, 939.96 and 460.86

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Solution

The fourth proportional to 681.96, 939.96 and 460.86 is: 635.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.96 : 939.96 = 460.86 : x
  2. Step 2: Convert to fraction form
    681.96/939.96 = 460.86/x
  3. Step 3: Cross multiply
    681.96x = 939.96 × 460.86
  4. Step 4: Simplify right side
    681.96x = 433,189.97
  5. Step 5: Solve for x
    x = 433,189.97/681.96
  6. Step 6: Final answer
    x = 635.21

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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.