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Finding the Fourth Proportional to 736.13, 1,103.85 and 273.80

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Solution

The fourth proportional to 736.13, 1,103.85 and 273.80 is: 410.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.13 : 1,103.85 = 273.80 : x
  2. Step 2: Convert to fraction form
    736.13/1,103.85 = 273.80/x
  3. Step 3: Cross multiply
    736.13x = 1,103.85 × 273.80
  4. Step 4: Simplify right side
    736.13x = 302,228.61
  5. Step 5: Solve for x
    x = 302,228.61/736.13
  6. Step 6: Final answer
    x = 410.57

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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.