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Finding the Fourth Proportional to 850.82, 1,174.07 and 477.80

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Solution

The fourth proportional to 850.82, 1,174.07 and 477.80 is: 659.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.82 : 1,174.07 = 477.80 : x
  2. Step 2: Convert to fraction form
    850.82/1,174.07 = 477.80/x
  3. Step 3: Cross multiply
    850.82x = 1,174.07 × 477.80
  4. Step 4: Simplify right side
    850.82x = 560,965.97
  5. Step 5: Solve for x
    x = 560,965.97/850.82
  6. Step 6: Final answer
    x = 659.32

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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.