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Finding the Fourth Proportional to 854.17, 1,178.78 and 481.13

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Solution

The fourth proportional to 854.17, 1,178.78 and 481.13 is: 663.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.17 : 1,178.78 = 481.13 : x
  2. Step 2: Convert to fraction form
    854.17/1,178.78 = 481.13/x
  3. Step 3: Cross multiply
    854.17x = 1,178.78 × 481.13
  4. Step 4: Simplify right side
    854.17x = 567,142.24
  5. Step 5: Solve for x
    x = 567,142.24/854.17
  6. Step 6: Final answer
    x = 663.97

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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.