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Finding the Fourth Proportional to 735.88, 1,103.82 and 273.65

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Solution

The fourth proportional to 735.88, 1,103.82 and 273.65 is: 410.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.88 : 1,103.82 = 273.65 : x
  2. Step 2: Convert to fraction form
    735.88/1,103.82 = 273.65/x
  3. Step 3: Cross multiply
    735.88x = 1,103.82 × 273.65
  4. Step 4: Simplify right side
    735.88x = 302,054.82
  5. Step 5: Solve for x
    x = 302,054.82/735.88
  6. Step 6: Final answer
    x = 410.47

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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.