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Finding the Fourth Proportional to 771.59, 1,064.75 and 422.25

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Solution

The fourth proportional to 771.59, 1,064.75 and 422.25 is: 582.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.59 : 1,064.75 = 422.25 : x
  2. Step 2: Convert to fraction form
    771.59/1,064.75 = 422.25/x
  3. Step 3: Cross multiply
    771.59x = 1,064.75 × 422.25
  4. Step 4: Simplify right side
    771.59x = 449,588.58
  5. Step 5: Solve for x
    x = 449,588.58/771.59
  6. Step 6: Final answer
    x = 582.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.