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Finding the Fourth Proportional to 727.61, 1,091.53 and 266.03

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Solution

The fourth proportional to 727.61, 1,091.53 and 266.03 is: 399.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.61 : 1,091.53 = 266.03 : x
  2. Step 2: Convert to fraction form
    727.61/1,091.53 = 266.03/x
  3. Step 3: Cross multiply
    727.61x = 1,091.53 × 266.03
  4. Step 4: Simplify right side
    727.61x = 290,378.69
  5. Step 5: Solve for x
    x = 290,378.69/727.61
  6. Step 6: Final answer
    x = 399.09

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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.