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Finding the Fourth Proportional to 730.97, 1,091.94 and 657.73

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Solution

The fourth proportional to 730.97, 1,091.94 and 657.73 is: 982.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.97 : 1,091.94 = 657.73 : x
  2. Step 2: Convert to fraction form
    730.97/1,091.94 = 657.73/x
  3. Step 3: Cross multiply
    730.97x = 1,091.94 × 657.73
  4. Step 4: Simplify right side
    730.97x = 718,201.70
  5. Step 5: Solve for x
    x = 718,201.70/730.97
  6. Step 6: Final answer
    x = 982.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.