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Finding the Fourth Proportional to 850.89, 1,174.92 and 519.50

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Solution

The fourth proportional to 850.89, 1,174.92 and 519.50 is: 717.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.89 : 1,174.92 = 519.50 : x
  2. Step 2: Convert to fraction form
    850.89/1,174.92 = 519.50/x
  3. Step 3: Cross multiply
    850.89x = 1,174.92 × 519.50
  4. Step 4: Simplify right side
    850.89x = 610,370.94
  5. Step 5: Solve for x
    x = 610,370.94/850.89
  6. Step 6: Final answer
    x = 717.33

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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.