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Finding the Fourth Proportional to 767.61, 1,151.06 and 254.25

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Solution

The fourth proportional to 767.61, 1,151.06 and 254.25 is: 381.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.61 : 1,151.06 = 254.25 : x
  2. Step 2: Convert to fraction form
    767.61/1,151.06 = 254.25/x
  3. Step 3: Cross multiply
    767.61x = 1,151.06 × 254.25
  4. Step 4: Simplify right side
    767.61x = 292,655.73
  5. Step 5: Solve for x
    x = 292,655.73/767.61
  6. Step 6: Final answer
    x = 381.26

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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.