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Finding the Fourth Proportional to 854.08, 1,178.56 and 481.12

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Solution

The fourth proportional to 854.08, 1,178.56 and 481.12 is: 663.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.08 : 1,178.56 = 481.12 : x
  2. Step 2: Convert to fraction form
    854.08/1,178.56 = 481.12/x
  3. Step 3: Cross multiply
    854.08x = 1,178.56 × 481.12
  4. Step 4: Simplify right side
    854.08x = 567,028.79
  5. Step 5: Solve for x
    x = 567,028.79/854.08
  6. Step 6: Final answer
    x = 663.91

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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.