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Finding the Fourth Proportional to 729.97, 1,007.81 and 464.56

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Solution

The fourth proportional to 729.97, 1,007.81 and 464.56 is: 641.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.97 : 1,007.81 = 464.56 : x
  2. Step 2: Convert to fraction form
    729.97/1,007.81 = 464.56/x
  3. Step 3: Cross multiply
    729.97x = 1,007.81 × 464.56
  4. Step 4: Simplify right side
    729.97x = 468,185.11
  5. Step 5: Solve for x
    x = 468,185.11/729.97
  6. Step 6: Final answer
    x = 641.38

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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.