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Finding the Fourth Proportional to 728.99, 1,092.90 and 363.59

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Solution

The fourth proportional to 728.99, 1,092.90 and 363.59 is: 545.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.99 : 1,092.90 = 363.59 : x
  2. Step 2: Convert to fraction form
    728.99/1,092.90 = 363.59/x
  3. Step 3: Cross multiply
    728.99x = 1,092.90 × 363.59
  4. Step 4: Simplify right side
    728.99x = 397,362.05
  5. Step 5: Solve for x
    x = 397,362.05/728.99
  6. Step 6: Final answer
    x = 545.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.