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Finding the Fourth Proportional to 834.99, 1,252.21 and 396.18

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Solution

The fourth proportional to 834.99, 1,252.21 and 396.18 is: 594.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.99 : 1,252.21 = 396.18 : x
  2. Step 2: Convert to fraction form
    834.99/1,252.21 = 396.18/x
  3. Step 3: Cross multiply
    834.99x = 1,252.21 × 396.18
  4. Step 4: Simplify right side
    834.99x = 496,100.56
  5. Step 5: Solve for x
    x = 496,100.56/834.99
  6. Step 6: Final answer
    x = 594.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.