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Finding the Fourth Proportional to 874.09, 1,206.24 and 475.75

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Solution

The fourth proportional to 874.09, 1,206.24 and 475.75 is: 656.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.09 : 1,206.24 = 475.75 : x
  2. Step 2: Convert to fraction form
    874.09/1,206.24 = 475.75/x
  3. Step 3: Cross multiply
    874.09x = 1,206.24 × 475.75
  4. Step 4: Simplify right side
    874.09x = 573,865.66
  5. Step 5: Solve for x
    x = 573,865.66/874.09
  6. Step 6: Final answer
    x = 656.53

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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.