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Finding the Fourth Proportional to 729.44, 1,093.98 and 455.39

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Solution

The fourth proportional to 729.44, 1,093.98 and 455.39 is: 682.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.44 : 1,093.98 = 455.39 : x
  2. Step 2: Convert to fraction form
    729.44/1,093.98 = 455.39/x
  3. Step 3: Cross multiply
    729.44x = 1,093.98 × 455.39
  4. Step 4: Simplify right side
    729.44x = 498,187.55
  5. Step 5: Solve for x
    x = 498,187.55/729.44
  6. Step 6: Final answer
    x = 682.97

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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.