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Finding the Fourth Proportional to 874.18, 1,206.36 and 481.22

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Solution

The fourth proportional to 874.18, 1,206.36 and 481.22 is: 664.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.18 : 1,206.36 = 481.22 : x
  2. Step 2: Convert to fraction form
    874.18/1,206.36 = 481.22/x
  3. Step 3: Cross multiply
    874.18x = 1,206.36 × 481.22
  4. Step 4: Simplify right side
    874.18x = 580,524.56
  5. Step 5: Solve for x
    x = 580,524.56/874.18
  6. Step 6: Final answer
    x = 664.08

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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.