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Finding the Fourth Proportional to 850.86, 1,276.56 and 363.96

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Solution

The fourth proportional to 850.86, 1,276.56 and 363.96 is: 546.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.86 : 1,276.56 = 363.96 : x
  2. Step 2: Convert to fraction form
    850.86/1,276.56 = 363.96/x
  3. Step 3: Cross multiply
    850.86x = 1,276.56 × 363.96
  4. Step 4: Simplify right side
    850.86x = 464,616.78
  5. Step 5: Solve for x
    x = 464,616.78/850.86
  6. Step 6: Final answer
    x = 546.06

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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.