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Finding the Fourth Proportional to 739.56, 1,108.26 and 523.56

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Solution

The fourth proportional to 739.56, 1,108.26 and 523.56 is: 784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.56 : 1,108.26 = 523.56 : x
  2. Step 2: Convert to fraction form
    739.56/1,108.26 = 523.56/x
  3. Step 3: Cross multiply
    739.56x = 1,108.26 × 523.56
  4. Step 4: Simplify right side
    739.56x = 580,240.61
  5. Step 5: Solve for x
    x = 580,240.61/739.56
  6. Step 6: Final answer
    x = 784.58

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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.