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Finding the Fourth Proportional to 608.93, 834.84 and 598

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Solution

The fourth proportional to 608.93, 834.84 and 598 is: 819.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.93 : 834.84 = 598 : x
  2. Step 2: Convert to fraction form
    608.93/834.84 = 598/x
  3. Step 3: Cross multiply
    608.93x = 834.84 × 598
  4. Step 4: Simplify right side
    608.93x = 499,234.32
  5. Step 5: Solve for x
    x = 499,234.32/608.93
  6. Step 6: Final answer
    x = 819.86

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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.