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Finding the Fourth Proportional to 685.94, 940.21 and 676.34

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Solution

The fourth proportional to 685.94, 940.21 and 676.34 is: 927.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.94 : 940.21 = 676.34 : x
  2. Step 2: Convert to fraction form
    685.94/940.21 = 676.34/x
  3. Step 3: Cross multiply
    685.94x = 940.21 × 676.34
  4. Step 4: Simplify right side
    685.94x = 635,901.63
  5. Step 5: Solve for x
    x = 635,901.63/685.94
  6. Step 6: Final answer
    x = 927.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.