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Finding the Fourth Proportional to 874.69, 1,207.10 and 481.70

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Solution

The fourth proportional to 874.69, 1,207.10 and 481.70 is: 664.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.69 : 1,207.10 = 481.70 : x
  2. Step 2: Convert to fraction form
    874.69/1,207.10 = 481.70/x
  3. Step 3: Cross multiply
    874.69x = 1,207.10 × 481.70
  4. Step 4: Simplify right side
    874.69x = 581,464.29
  5. Step 5: Solve for x
    x = 581,464.29/874.69
  6. Step 6: Final answer
    x = 664.77

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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.