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Finding the Fourth Proportional to 850.10, 1,274.13 and 301.86

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Solution

The fourth proportional to 850.10, 1,274.13 and 301.86 is: 452.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.10 : 1,274.13 = 301.86 : x
  2. Step 2: Convert to fraction form
    850.10/1,274.13 = 301.86/x
  3. Step 3: Cross multiply
    850.10x = 1,274.13 × 301.86
  4. Step 4: Simplify right side
    850.10x = 384,608.88
  5. Step 5: Solve for x
    x = 384,608.88/850.10
  6. Step 6: Final answer
    x = 452.43

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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.