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Finding the Fourth Proportional to 728.73, 1,091.31 and 467.94

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Solution

The fourth proportional to 728.73, 1,091.31 and 467.94 is: 700.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.73 : 1,091.31 = 467.94 : x
  2. Step 2: Convert to fraction form
    728.73/1,091.31 = 467.94/x
  3. Step 3: Cross multiply
    728.73x = 1,091.31 × 467.94
  4. Step 4: Simplify right side
    728.73x = 510,669.94
  5. Step 5: Solve for x
    x = 510,669.94/728.73
  6. Step 6: Final answer
    x = 700.77

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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.