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Finding the Fourth Proportional to 767.48, 1,151.26 and 254.52

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Solution

The fourth proportional to 767.48, 1,151.26 and 254.52 is: 381.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.48 : 1,151.26 = 254.52 : x
  2. Step 2: Convert to fraction form
    767.48/1,151.26 = 254.52/x
  3. Step 3: Cross multiply
    767.48x = 1,151.26 × 254.52
  4. Step 4: Simplify right side
    767.48x = 293,018.70
  5. Step 5: Solve for x
    x = 293,018.70/767.48
  6. Step 6: Final answer
    x = 381.79

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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.