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Finding the Fourth Proportional to 734.13, 1,013.31 and 523.97

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Solution

The fourth proportional to 734.13, 1,013.31 and 523.97 is: 723.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.13 : 1,013.31 = 523.97 : x
  2. Step 2: Convert to fraction form
    734.13/1,013.31 = 523.97/x
  3. Step 3: Cross multiply
    734.13x = 1,013.31 × 523.97
  4. Step 4: Simplify right side
    734.13x = 530,938.97
  5. Step 5: Solve for x
    x = 530,938.97/734.13
  6. Step 6: Final answer
    x = 723.22

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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.