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Finding the Fourth Proportional to 771.56, 1,064.76 and 422.25

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Solution

The fourth proportional to 771.56, 1,064.76 and 422.25 is: 582.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.56 : 1,064.76 = 422.25 : x
  2. Step 2: Convert to fraction form
    771.56/1,064.76 = 422.25/x
  3. Step 3: Cross multiply
    771.56x = 1,064.76 × 422.25
  4. Step 4: Simplify right side
    771.56x = 449,594.91
  5. Step 5: Solve for x
    x = 449,594.91/771.56
  6. Step 6: Final answer
    x = 582.71

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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.