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Finding the Fourth Proportional to 685.38, 944.01 and 633.45

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Solution

The fourth proportional to 685.38, 944.01 and 633.45 is: 872.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.38 : 944.01 = 633.45 : x
  2. Step 2: Convert to fraction form
    685.38/944.01 = 633.45/x
  3. Step 3: Cross multiply
    685.38x = 944.01 × 633.45
  4. Step 4: Simplify right side
    685.38x = 597,983.13
  5. Step 5: Solve for x
    x = 597,983.13/685.38
  6. Step 6: Final answer
    x = 872.48

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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.