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Finding the Fourth Proportional to 850.67, 1,276.39 and 411.68

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Solution

The fourth proportional to 850.67, 1,276.39 and 411.68 is: 617.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.67 : 1,276.39 = 411.68 : x
  2. Step 2: Convert to fraction form
    850.67/1,276.39 = 411.68/x
  3. Step 3: Cross multiply
    850.67x = 1,276.39 × 411.68
  4. Step 4: Simplify right side
    850.67x = 525,467.94
  5. Step 5: Solve for x
    x = 525,467.94/850.67
  6. Step 6: Final answer
    x = 617.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.