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Finding the Fourth Proportional to 771.64, 1,064.85 and 422.32

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Solution

The fourth proportional to 771.64, 1,064.85 and 422.32 is: 582.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.64 : 1,064.85 = 422.32 : x
  2. Step 2: Convert to fraction form
    771.64/1,064.85 = 422.32/x
  3. Step 3: Cross multiply
    771.64x = 1,064.85 × 422.32
  4. Step 4: Simplify right side
    771.64x = 449,707.45
  5. Step 5: Solve for x
    x = 449,707.45/771.64
  6. Step 6: Final answer
    x = 582.79

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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.