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Finding the Fourth Proportional to 727.76, 1,091.28 and 295.04

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Solution

The fourth proportional to 727.76, 1,091.28 and 295.04 is: 442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.76 : 1,091.28 = 295.04 : x
  2. Step 2: Convert to fraction form
    727.76/1,091.28 = 295.04/x
  3. Step 3: Cross multiply
    727.76x = 1,091.28 × 295.04
  4. Step 4: Simplify right side
    727.76x = 321,971.25
  5. Step 5: Solve for x
    x = 321,971.25/727.76
  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.