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Finding the Fourth Proportional to 739.12, 1,019.76 and 428.56

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Solution

The fourth proportional to 739.12, 1,019.76 and 428.56 is: 591.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.12 : 1,019.76 = 428.56 : x
  2. Step 2: Convert to fraction form
    739.12/1,019.76 = 428.56/x
  3. Step 3: Cross multiply
    739.12x = 1,019.76 × 428.56
  4. Step 4: Simplify right side
    739.12x = 437,028.35
  5. Step 5: Solve for x
    x = 437,028.35/739.12
  6. Step 6: Final answer
    x = 591.28

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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.