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Finding the Fourth Proportional to 739.25, 1,020.26 and 428.75

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Solution

The fourth proportional to 739.25, 1,020.26 and 428.75 is: 591.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.25 : 1,020.26 = 428.75 : x
  2. Step 2: Convert to fraction form
    739.25/1,020.26 = 428.75/x
  3. Step 3: Cross multiply
    739.25x = 1,020.26 × 428.75
  4. Step 4: Simplify right side
    739.25x = 437,436.48
  5. Step 5: Solve for x
    x = 437,436.48/739.25
  6. Step 6: Final answer
    x = 591.73

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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.