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Finding the Fourth Proportional to 728.59, 1,092.23 and 266.05

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Solution

The fourth proportional to 728.59, 1,092.23 and 266.05 is: 398.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.59 : 1,092.23 = 266.05 : x
  2. Step 2: Convert to fraction form
    728.59/1,092.23 = 266.05/x
  3. Step 3: Cross multiply
    728.59x = 1,092.23 × 266.05
  4. Step 4: Simplify right side
    728.59x = 290,582.33
  5. Step 5: Solve for x
    x = 290,582.33/728.59
  6. Step 6: Final answer
    x = 398.83

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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.