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Finding the Fourth Proportional to 874.71, 1,207.08 and 481.74

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Solution

The fourth proportional to 874.71, 1,207.08 and 481.74 is: 664.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.71 : 1,207.08 = 481.74 : x
  2. Step 2: Convert to fraction form
    874.71/1,207.08 = 481.74/x
  3. Step 3: Cross multiply
    874.71x = 1,207.08 × 481.74
  4. Step 4: Simplify right side
    874.71x = 581,498.72
  5. Step 5: Solve for x
    x = 581,498.72/874.71
  6. Step 6: Final answer
    x = 664.79

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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.