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Finding the Fourth Proportional to 771.22, 1,064.14 and 490.96

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Solution

The fourth proportional to 771.22, 1,064.14 and 490.96 is: 677.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.22 : 1,064.14 = 490.96 : x
  2. Step 2: Convert to fraction form
    771.22/1,064.14 = 490.96/x
  3. Step 3: Cross multiply
    771.22x = 1,064.14 × 490.96
  4. Step 4: Simplify right side
    771.22x = 522,450.17
  5. Step 5: Solve for x
    x = 522,450.17/771.22
  6. Step 6: Final answer
    x = 677.43

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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.