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Finding the Fourth Proportional to 771.32, 1,064.43 and 422

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Solution

The fourth proportional to 771.32, 1,064.43 and 422 is: 582.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.32 : 1,064.43 = 422 : x
  2. Step 2: Convert to fraction form
    771.32/1,064.43 = 422/x
  3. Step 3: Cross multiply
    771.32x = 1,064.43 × 422
  4. Step 4: Simplify right side
    771.32x = 449,189.46
  5. Step 5: Solve for x
    x = 449,189.46/771.32
  6. Step 6: Final answer
    x = 582.36

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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.