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Finding the Fourth Proportional to 850.33, 1,276.67 and 439.75

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Solution

The fourth proportional to 850.33, 1,276.67 and 439.75 is: 660.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.33 : 1,276.67 = 439.75 : x
  2. Step 2: Convert to fraction form
    850.33/1,276.67 = 439.75/x
  3. Step 3: Cross multiply
    850.33x = 1,276.67 × 439.75
  4. Step 4: Simplify right side
    850.33x = 561,415.63
  5. Step 5: Solve for x
    x = 561,415.63/850.33
  6. Step 6: Final answer
    x = 660.23

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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.