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Finding the Fourth Proportional to 739.35, 1,107.68 and 450.45

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Solution

The fourth proportional to 739.35, 1,107.68 and 450.45 is: 674.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.35 : 1,107.68 = 450.45 : x
  2. Step 2: Convert to fraction form
    739.35/1,107.68 = 450.45/x
  3. Step 3: Cross multiply
    739.35x = 1,107.68 × 450.45
  4. Step 4: Simplify right side
    739.35x = 498,952.20
  5. Step 5: Solve for x
    x = 498,952.20/739.35
  6. Step 6: Final answer
    x = 674.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.