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Finding the Fourth Proportional to 739.49, 1,019.25 and 573.03

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Solution

The fourth proportional to 739.49, 1,019.25 and 573.03 is: 789.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.49 : 1,019.25 = 573.03 : x
  2. Step 2: Convert to fraction form
    739.49/1,019.25 = 573.03/x
  3. Step 3: Cross multiply
    739.49x = 1,019.25 × 573.03
  4. Step 4: Simplify right side
    739.49x = 584,060.83
  5. Step 5: Solve for x
    x = 584,060.83/739.49
  6. Step 6: Final answer
    x = 789.82

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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.