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Finding the Fourth Proportional to 729, 1,006.83 and 481.41

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Solution

The fourth proportional to 729, 1,006.83 and 481.41 is: 664.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    729 : 1,006.83 = 481.41 : x
  2. Step 2: Convert to fraction form
    729/1,006.83 = 481.41/x
  3. Step 3: Cross multiply
    729x = 1,006.83 × 481.41
  4. Step 4: Simplify right side
    729x = 484,698.03
  5. Step 5: Solve for x
    x = 484,698.03/729
  6. Step 6: Final answer
    x = 664.88

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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.