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Finding the Fourth Proportional to 743.93, 1,027.31 and 523.41

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Solution

The fourth proportional to 743.93, 1,027.31 and 523.41 is: 722.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.93 : 1,027.31 = 523.41 : x
  2. Step 2: Convert to fraction form
    743.93/1,027.31 = 523.41/x
  3. Step 3: Cross multiply
    743.93x = 1,027.31 × 523.41
  4. Step 4: Simplify right side
    743.93x = 537,704.33
  5. Step 5: Solve for x
    x = 537,704.33/743.93
  6. Step 6: Final answer
    x = 722.79

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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.