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Finding the Fourth Proportional to 727.56, 1,091.54 and 295.02

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Solution

The fourth proportional to 727.56, 1,091.54 and 295.02 is: 442.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.56 : 1,091.54 = 295.02 : x
  2. Step 2: Convert to fraction form
    727.56/1,091.54 = 295.02/x
  3. Step 3: Cross multiply
    727.56x = 1,091.54 × 295.02
  4. Step 4: Simplify right side
    727.56x = 322,026.13
  5. Step 5: Solve for x
    x = 322,026.13/727.56
  6. Step 6: Final answer
    x = 442.61

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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.