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Finding the Fourth Proportional to 727.75, 1,091.08 and 468.04

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Solution

The fourth proportional to 727.75, 1,091.08 and 468.04 is: 701.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.75 : 1,091.08 = 468.04 : x
  2. Step 2: Convert to fraction form
    727.75/1,091.08 = 468.04/x
  3. Step 3: Cross multiply
    727.75x = 1,091.08 × 468.04
  4. Step 4: Simplify right side
    727.75x = 510,669.08
  5. Step 5: Solve for x
    x = 510,669.08/727.75
  6. Step 6: Final answer
    x = 701.71

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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.