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Finding the Fourth Proportional to 739.12, 1,019.78 and 459.26

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Solution

The fourth proportional to 739.12, 1,019.78 and 459.26 is: 633.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.12 : 1,019.78 = 459.26 : x
  2. Step 2: Convert to fraction form
    739.12/1,019.78 = 459.26/x
  3. Step 3: Cross multiply
    739.12x = 1,019.78 × 459.26
  4. Step 4: Simplify right side
    739.12x = 468,344.16
  5. Step 5: Solve for x
    x = 468,344.16/739.12
  6. Step 6: Final answer
    x = 633.65

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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.