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Finding the Fourth Proportional to 728.60, 1,091.96 and 362.60

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Solution

The fourth proportional to 728.60, 1,091.96 and 362.60 is: 543.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.60 : 1,091.96 = 362.60 : x
  2. Step 2: Convert to fraction form
    728.60/1,091.96 = 362.60/x
  3. Step 3: Cross multiply
    728.60x = 1,091.96 × 362.60
  4. Step 4: Simplify right side
    728.60x = 395,944.70
  5. Step 5: Solve for x
    x = 395,944.70/728.60
  6. Step 6: Final answer
    x = 543.43

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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.