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Finding the Fourth Proportional to 739.22, 1,019.76 and 459.77

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Solution

The fourth proportional to 739.22, 1,019.76 and 459.77 is: 634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.22 : 1,019.76 = 459.77 : x
  2. Step 2: Convert to fraction form
    739.22/1,019.76 = 459.77/x
  3. Step 3: Cross multiply
    739.22x = 1,019.76 × 459.77
  4. Step 4: Simplify right side
    739.22x = 468,849.96
  5. Step 5: Solve for x
    x = 468,849.96/739.22
  6. Step 6: Final answer
    x = 634.25

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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.