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Finding the Fourth Proportional to 854.26, 1,178.92 and 481.28

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Solution

The fourth proportional to 854.26, 1,178.92 and 481.28 is: 664.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.26 : 1,178.92 = 481.28 : x
  2. Step 2: Convert to fraction form
    854.26/1,178.92 = 481.28/x
  3. Step 3: Cross multiply
    854.26x = 1,178.92 × 481.28
  4. Step 4: Simplify right side
    854.26x = 567,391.96
  5. Step 5: Solve for x
    x = 567,391.96/854.26
  6. Step 6: Final answer
    x = 664.19

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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.