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Finding the Fourth Proportional to 854.22, 1,178.82 and 481.21

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Solution

The fourth proportional to 854.22, 1,178.82 and 481.21 is: 664.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.22 : 1,178.82 = 481.21 : x
  2. Step 2: Convert to fraction form
    854.22/1,178.82 = 481.21/x
  3. Step 3: Cross multiply
    854.22x = 1,178.82 × 481.21
  4. Step 4: Simplify right side
    854.22x = 567,259.97
  5. Step 5: Solve for x
    x = 567,259.97/854.22
  6. Step 6: Final answer
    x = 664.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.