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Finding the Fourth Proportional to 737.73, 1,105.74 and 412.44

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Solution

The fourth proportional to 737.73, 1,105.74 and 412.44 is: 618.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.73 : 1,105.74 = 412.44 : x
  2. Step 2: Convert to fraction form
    737.73/1,105.74 = 412.44/x
  3. Step 3: Cross multiply
    737.73x = 1,105.74 × 412.44
  4. Step 4: Simplify right side
    737.73x = 456,051.41
  5. Step 5: Solve for x
    x = 456,051.41/737.73
  6. Step 6: Final answer
    x = 618.18

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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.