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Finding the Fourth Proportional to 735.75, 1,103.42 and 273.71

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Solution

The fourth proportional to 735.75, 1,103.42 and 273.71 is: 410.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.75 : 1,103.42 = 273.71 : x
  2. Step 2: Convert to fraction form
    735.75/1,103.42 = 273.71/x
  3. Step 3: Cross multiply
    735.75x = 1,103.42 × 273.71
  4. Step 4: Simplify right side
    735.75x = 302,020.53
  5. Step 5: Solve for x
    x = 302,020.53/735.75
  6. Step 6: Final answer
    x = 410.49

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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.