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Finding the Fourth Proportional to 771.25, 1,064.33 and 421.94

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Solution

The fourth proportional to 771.25, 1,064.33 and 421.94 is: 582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.25 : 1,064.33 = 421.94 : x
  2. Step 2: Convert to fraction form
    771.25/1,064.33 = 421.94/x
  3. Step 3: Cross multiply
    771.25x = 1,064.33 × 421.94
  4. Step 4: Simplify right side
    771.25x = 449,083.40
  5. Step 5: Solve for x
    x = 449,083.40/771.25
  6. Step 6: Final answer
    x = 582.28

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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.