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Finding the Fourth Proportional to 728.48, 1,093.04 and 295.52

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Solution

The fourth proportional to 728.48, 1,093.04 and 295.52 is: 443.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.48 : 1,093.04 = 295.52 : x
  2. Step 2: Convert to fraction form
    728.48/1,093.04 = 295.52/x
  3. Step 3: Cross multiply
    728.48x = 1,093.04 × 295.52
  4. Step 4: Simplify right side
    728.48x = 323,015.18
  5. Step 5: Solve for x
    x = 323,015.18/728.48
  6. Step 6: Final answer
    x = 443.41

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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.