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Finding the Fourth Proportional to 850.86, 1,275.99 and 295.43

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Solution

The fourth proportional to 850.86, 1,275.99 and 295.43 is: 443.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.86 : 1,275.99 = 295.43 : x
  2. Step 2: Convert to fraction form
    850.86/1,275.99 = 295.43/x
  3. Step 3: Cross multiply
    850.86x = 1,275.99 × 295.43
  4. Step 4: Simplify right side
    850.86x = 376,958.24
  5. Step 5: Solve for x
    x = 376,958.24/850.86
  6. Step 6: Final answer
    x = 443.03

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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.