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Finding the Fourth Proportional to 736.70, 1,016.49 and 438.05

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Solution

The fourth proportional to 736.70, 1,016.49 and 438.05 is: 604.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.70 : 1,016.49 = 438.05 : x
  2. Step 2: Convert to fraction form
    736.70/1,016.49 = 438.05/x
  3. Step 3: Cross multiply
    736.70x = 1,016.49 × 438.05
  4. Step 4: Simplify right side
    736.70x = 445,273.44
  5. Step 5: Solve for x
    x = 445,273.44/736.70
  6. Step 6: Final answer
    x = 604.42

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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.