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Finding the Fourth Proportional to 854.33, 1,178.96 and 481.32

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Solution

The fourth proportional to 854.33, 1,178.96 and 481.32 is: 664.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.33 : 1,178.96 = 481.32 : x
  2. Step 2: Convert to fraction form
    854.33/1,178.96 = 481.32/x
  3. Step 3: Cross multiply
    854.33x = 1,178.96 × 481.32
  4. Step 4: Simplify right side
    854.33x = 567,454.62
  5. Step 5: Solve for x
    x = 567,454.62/854.33
  6. Step 6: Final answer
    x = 664.21

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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.