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Finding the Fourth Proportional to 728.42, 1,092.52 and 208.44

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Solution

The fourth proportional to 728.42, 1,092.52 and 208.44 is: 312.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.42 : 1,092.52 = 208.44 : x
  2. Step 2: Convert to fraction form
    728.42/1,092.52 = 208.44/x
  3. Step 3: Cross multiply
    728.42x = 1,092.52 × 208.44
  4. Step 4: Simplify right side
    728.42x = 227,724.87
  5. Step 5: Solve for x
    x = 227,724.87/728.42
  6. Step 6: Final answer
    x = 312.63

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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.