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Finding the Fourth Proportional to 600.09, 903.67 and 523.97

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Solution

The fourth proportional to 600.09, 903.67 and 523.97 is: 789.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.09 : 903.67 = 523.97 : x
  2. Step 2: Convert to fraction form
    600.09/903.67 = 523.97/x
  3. Step 3: Cross multiply
    600.09x = 903.67 × 523.97
  4. Step 4: Simplify right side
    600.09x = 473,495.97
  5. Step 5: Solve for x
    x = 473,495.97/600.09
  6. Step 6: Final answer
    x = 789.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.