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Finding the Fourth Proportional to 823.99, 1,236.14 and 337.09

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Solution

The fourth proportional to 823.99, 1,236.14 and 337.09 is: 505.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.99 : 1,236.14 = 337.09 : x
  2. Step 2: Convert to fraction form
    823.99/1,236.14 = 337.09/x
  3. Step 3: Cross multiply
    823.99x = 1,236.14 × 337.09
  4. Step 4: Simplify right side
    823.99x = 416,690.43
  5. Step 5: Solve for x
    x = 416,690.43/823.99
  6. Step 6: Final answer
    x = 505.70

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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.