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Finding the Fourth Proportional to 850.26, 1,274.71 and 439.46

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Solution

The fourth proportional to 850.26, 1,274.71 and 439.46 is: 658.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.26 : 1,274.71 = 439.46 : x
  2. Step 2: Convert to fraction form
    850.26/1,274.71 = 439.46/x
  3. Step 3: Cross multiply
    850.26x = 1,274.71 × 439.46
  4. Step 4: Simplify right side
    850.26x = 560,184.06
  5. Step 5: Solve for x
    x = 560,184.06/850.26
  6. Step 6: Final answer
    x = 658.84

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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.