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Finding the Fourth Proportional to 767.50, 1,151.25 and 254.50

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Solution

The fourth proportional to 767.50, 1,151.25 and 254.50 is: 381.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.50 : 1,151.25 = 254.50 : x
  2. Step 2: Convert to fraction form
    767.50/1,151.25 = 254.50/x
  3. Step 3: Cross multiply
    767.50x = 1,151.25 × 254.50
  4. Step 4: Simplify right side
    767.50x = 292,993.13
  5. Step 5: Solve for x
    x = 292,993.13/767.50
  6. Step 6: Final answer
    x = 381.75

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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.