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Finding the Fourth Proportional to 734.01, 1,012.33 and 523.81

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Solution

The fourth proportional to 734.01, 1,012.33 and 523.81 is: 722.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.01 : 1,012.33 = 523.81 : x
  2. Step 2: Convert to fraction form
    734.01/1,012.33 = 523.81/x
  3. Step 3: Cross multiply
    734.01x = 1,012.33 × 523.81
  4. Step 4: Simplify right side
    734.01x = 530,268.58
  5. Step 5: Solve for x
    x = 530,268.58/734.01
  6. Step 6: Final answer
    x = 722.43

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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.