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Finding the Fourth Proportional to 742.55, 1,113.12 and 255.33

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Solution

The fourth proportional to 742.55, 1,113.12 and 255.33 is: 382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.55 : 1,113.12 = 255.33 : x
  2. Step 2: Convert to fraction form
    742.55/1,113.12 = 255.33/x
  3. Step 3: Cross multiply
    742.55x = 1,113.12 × 255.33
  4. Step 4: Simplify right side
    742.55x = 284,212.93
  5. Step 5: Solve for x
    x = 284,212.93/742.55
  6. Step 6: Final answer
    x = 382.76

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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.