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Finding the Fourth Proportional to 739.92, 1,107.30 and 523.10

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Solution

The fourth proportional to 739.92, 1,107.30 and 523.10 is: 782.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.92 : 1,107.30 = 523.10 : x
  2. Step 2: Convert to fraction form
    739.92/1,107.30 = 523.10/x
  3. Step 3: Cross multiply
    739.92x = 1,107.30 × 523.10
  4. Step 4: Simplify right side
    739.92x = 579,228.63
  5. Step 5: Solve for x
    x = 579,228.63/739.92
  6. Step 6: Final answer
    x = 782.83

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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.