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Finding the Fourth Proportional to 728.70, 1,093.23 and 241.80

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Solution

The fourth proportional to 728.70, 1,093.23 and 241.80 is: 362.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.70 : 1,093.23 = 241.80 : x
  2. Step 2: Convert to fraction form
    728.70/1,093.23 = 241.80/x
  3. Step 3: Cross multiply
    728.70x = 1,093.23 × 241.80
  4. Step 4: Simplify right side
    728.70x = 264,343.01
  5. Step 5: Solve for x
    x = 264,343.01/728.70
  6. Step 6: Final answer
    x = 362.76

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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.