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Finding the Fourth Proportional to 728.83, 1,093.79 and 404.83

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Solution

The fourth proportional to 728.83, 1,093.79 and 404.83 is: 607.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.83 : 1,093.79 = 404.83 : x
  2. Step 2: Convert to fraction form
    728.83/1,093.79 = 404.83/x
  3. Step 3: Cross multiply
    728.83x = 1,093.79 × 404.83
  4. Step 4: Simplify right side
    728.83x = 442,796.98
  5. Step 5: Solve for x
    x = 442,796.98/728.83
  6. Step 6: Final answer
    x = 607.54

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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.