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Finding the Fourth Proportional to 742.76, 1,114.31 and 255.83

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Solution

The fourth proportional to 742.76, 1,114.31 and 255.83 is: 383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.76 : 1,114.31 = 255.83 : x
  2. Step 2: Convert to fraction form
    742.76/1,114.31 = 255.83/x
  3. Step 3: Cross multiply
    742.76x = 1,114.31 × 255.83
  4. Step 4: Simplify right side
    742.76x = 285,067.08
  5. Step 5: Solve for x
    x = 285,067.08/742.76
  6. Step 6: Final answer
    x = 383.80

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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.