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Finding the Fourth Proportional to 771.59, 1,064.81 and 422.28

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Solution

The fourth proportional to 771.59, 1,064.81 and 422.28 is: 582.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.59 : 1,064.81 = 422.28 : x
  2. Step 2: Convert to fraction form
    771.59/1,064.81 = 422.28/x
  3. Step 3: Cross multiply
    771.59x = 1,064.81 × 422.28
  4. Step 4: Simplify right side
    771.59x = 449,649.02
  5. Step 5: Solve for x
    x = 449,649.02/771.59
  6. Step 6: Final answer
    x = 582.75

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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.