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Finding the Fourth Proportional to 739.22, 1,020.33 and 428.78

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Solution

The fourth proportional to 739.22, 1,020.33 and 428.78 is: 591.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.22 : 1,020.33 = 428.78 : x
  2. Step 2: Convert to fraction form
    739.22/1,020.33 = 428.78/x
  3. Step 3: Cross multiply
    739.22x = 1,020.33 × 428.78
  4. Step 4: Simplify right side
    739.22x = 437,497.10
  5. Step 5: Solve for x
    x = 437,497.10/739.22
  6. Step 6: Final answer
    x = 591.84

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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.