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Finding the Fourth Proportional to 771.22, 1,064.34 and 439.73

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Solution

The fourth proportional to 771.22, 1,064.34 and 439.73 is: 606.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.22 : 1,064.34 = 439.73 : x
  2. Step 2: Convert to fraction form
    771.22/1,064.34 = 439.73/x
  3. Step 3: Cross multiply
    771.22x = 1,064.34 × 439.73
  4. Step 4: Simplify right side
    771.22x = 468,020.90
  5. Step 5: Solve for x
    x = 468,020.90/771.22
  6. Step 6: Final answer
    x = 606.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.