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Finding the Fourth Proportional to 727.48, 1,091.22 and 294.94

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Solution

The fourth proportional to 727.48, 1,091.22 and 294.94 is: 442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.48 : 1,091.22 = 294.94 : x
  2. Step 2: Convert to fraction form
    727.48/1,091.22 = 294.94/x
  3. Step 3: Cross multiply
    727.48x = 1,091.22 × 294.94
  4. Step 4: Simplify right side
    727.48x = 321,844.43
  5. Step 5: Solve for x
    x = 321,844.43/727.48
  6. Step 6: Final answer
    x = 442.41

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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.