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Finding the Fourth Proportional to 739.45, 1,020.06 and 599.73

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Solution

The fourth proportional to 739.45, 1,020.06 and 599.73 is: 827.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.45 : 1,020.06 = 599.73 : x
  2. Step 2: Convert to fraction form
    739.45/1,020.06 = 599.73/x
  3. Step 3: Cross multiply
    739.45x = 1,020.06 × 599.73
  4. Step 4: Simplify right side
    739.45x = 611,756.76
  5. Step 5: Solve for x
    x = 611,756.76/739.45
  6. Step 6: Final answer
    x = 827.31

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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.