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Finding the Fourth Proportional to 680.42, 937.83 and 481.34

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Solution

The fourth proportional to 680.42, 937.83 and 481.34 is: 663.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.42 : 937.83 = 481.34 : x
  2. Step 2: Convert to fraction form
    680.42/937.83 = 481.34/x
  3. Step 3: Cross multiply
    680.42x = 937.83 × 481.34
  4. Step 4: Simplify right side
    680.42x = 451,415.09
  5. Step 5: Solve for x
    x = 451,415.09/680.42
  6. Step 6: Final answer
    x = 663.44

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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.