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Finding the Fourth Proportional to 742.26, 1,113.26 and 255.32

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Solution

The fourth proportional to 742.26, 1,113.26 and 255.32 is: 382.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.26 : 1,113.26 = 255.32 : x
  2. Step 2: Convert to fraction form
    742.26/1,113.26 = 255.32/x
  3. Step 3: Cross multiply
    742.26x = 1,113.26 × 255.32
  4. Step 4: Simplify right side
    742.26x = 284,237.54
  5. Step 5: Solve for x
    x = 284,237.54/742.26
  6. Step 6: Final answer
    x = 382.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.