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Finding the Fourth Proportional to 874.09, 1,206.15 and 481.09

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Solution

The fourth proportional to 874.09, 1,206.15 and 481.09 is: 663.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.09 : 1,206.15 = 481.09 : x
  2. Step 2: Convert to fraction form
    874.09/1,206.15 = 481.09/x
  3. Step 3: Cross multiply
    874.09x = 1,206.15 × 481.09
  4. Step 4: Simplify right side
    874.09x = 580,266.70
  5. Step 5: Solve for x
    x = 580,266.70/874.09
  6. Step 6: Final answer
    x = 663.85

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1.5x scale

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.