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Finding the Fourth Proportional to 600.96, 834.31 and 583.14

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Solution

The fourth proportional to 600.96, 834.31 and 583.14 is: 809.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.96 : 834.31 = 583.14 : x
  2. Step 2: Convert to fraction form
    600.96/834.31 = 583.14/x
  3. Step 3: Cross multiply
    600.96x = 834.31 × 583.14
  4. Step 4: Simplify right side
    600.96x = 486,519.53
  5. Step 5: Solve for x
    x = 486,519.53/600.96
  6. Step 6: Final answer
    x = 809.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.