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Finding the Fourth Proportional to 746.44, 1,121.82 and 361.96

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Solution

The fourth proportional to 746.44, 1,121.82 and 361.96 is: 543.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.44 : 1,121.82 = 361.96 : x
  2. Step 2: Convert to fraction form
    746.44/1,121.82 = 361.96/x
  3. Step 3: Cross multiply
    746.44x = 1,121.82 × 361.96
  4. Step 4: Simplify right side
    746.44x = 406,053.97
  5. Step 5: Solve for x
    x = 406,053.97/746.44
  6. Step 6: Final answer
    x = 543.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.