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Finding the Fourth Proportional to 771.46, 1,064.60 and 422.14

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Solution

The fourth proportional to 771.46, 1,064.60 and 422.14 is: 582.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.46 : 1,064.60 = 422.14 : x
  2. Step 2: Convert to fraction form
    771.46/1,064.60 = 422.14/x
  3. Step 3: Cross multiply
    771.46x = 1,064.60 × 422.14
  4. Step 4: Simplify right side
    771.46x = 449,410.24
  5. Step 5: Solve for x
    x = 449,410.24/771.46
  6. Step 6: Final answer
    x = 582.55

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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.