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Finding the Fourth Proportional to 728.65, 1,093.01 and 363.01

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Solution

The fourth proportional to 728.65, 1,093.01 and 363.01 is: 544.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.65 : 1,093.01 = 363.01 : x
  2. Step 2: Convert to fraction form
    728.65/1,093.01 = 363.01/x
  3. Step 3: Cross multiply
    728.65x = 1,093.01 × 363.01
  4. Step 4: Simplify right side
    728.65x = 396,773.56
  5. Step 5: Solve for x
    x = 396,773.56/728.65
  6. Step 6: Final answer
    x = 544.53

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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.