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Finding the Fourth Proportional to 729, 1,005.72 and 480.44

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Solution

The fourth proportional to 729, 1,005.72 and 480.44 is: 662.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    729 : 1,005.72 = 480.44 : x
  2. Step 2: Convert to fraction form
    729/1,005.72 = 480.44/x
  3. Step 3: Cross multiply
    729x = 1,005.72 × 480.44
  4. Step 4: Simplify right side
    729x = 483,183.09
  5. Step 5: Solve for x
    x = 483,183.09/729
  6. Step 6: Final answer
    x = 662.80

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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.