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Finding the Fourth Proportional to 739.10, 1,107.30 and 450.20

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Solution

The fourth proportional to 739.10, 1,107.30 and 450.20 is: 674.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.10 : 1,107.30 = 450.20 : x
  2. Step 2: Convert to fraction form
    739.10/1,107.30 = 450.20/x
  3. Step 3: Cross multiply
    739.10x = 1,107.30 × 450.20
  4. Step 4: Simplify right side
    739.10x = 498,506.46
  5. Step 5: Solve for x
    x = 498,506.46/739.10
  6. Step 6: Final answer
    x = 674.48

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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.