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Finding the Fourth Proportional to 850.78, 1,174.06 and 477.75

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Solution

The fourth proportional to 850.78, 1,174.06 and 477.75 is: 659.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.78 : 1,174.06 = 477.75 : x
  2. Step 2: Convert to fraction form
    850.78/1,174.06 = 477.75/x
  3. Step 3: Cross multiply
    850.78x = 1,174.06 × 477.75
  4. Step 4: Simplify right side
    850.78x = 560,905.97
  5. Step 5: Solve for x
    x = 560,905.97/850.78
  6. Step 6: Final answer
    x = 659.29

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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.