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Finding the Fourth Proportional to 739.53, 1,020.62 and 444.79

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Solution

The fourth proportional to 739.53, 1,020.62 and 444.79 is: 613.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.53 : 1,020.62 = 444.79 : x
  2. Step 2: Convert to fraction form
    739.53/1,020.62 = 444.79/x
  3. Step 3: Cross multiply
    739.53x = 1,020.62 × 444.79
  4. Step 4: Simplify right side
    739.53x = 453,960.13
  5. Step 5: Solve for x
    x = 453,960.13/739.53
  6. Step 6: Final answer
    x = 613.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.