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Finding the Fourth Proportional to 609.01, 834.96 and 598.07

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Solution

The fourth proportional to 609.01, 834.96 and 598.07 is: 819.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.01 : 834.96 = 598.07 : x
  2. Step 2: Convert to fraction form
    609.01/834.96 = 598.07/x
  3. Step 3: Cross multiply
    609.01x = 834.96 × 598.07
  4. Step 4: Simplify right side
    609.01x = 499,368.86
  5. Step 5: Solve for x
    x = 499,368.86/609.01
  6. Step 6: Final answer
    x = 819.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.