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Finding the Fourth Proportional to 739.40, 1,020.40 and 444.66

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Solution

The fourth proportional to 739.40, 1,020.40 and 444.66 is: 613.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.40 : 1,020.40 = 444.66 : x
  2. Step 2: Convert to fraction form
    739.40/1,020.40 = 444.66/x
  3. Step 3: Cross multiply
    739.40x = 1,020.40 × 444.66
  4. Step 4: Simplify right side
    739.40x = 453,729.95
  5. Step 5: Solve for x
    x = 453,729.95/739.40
  6. Step 6: Final answer
    x = 613.65

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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.