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Finding the Fourth Proportional to 823.06, 1,235.81 and 337.06

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Solution

The fourth proportional to 823.06, 1,235.81 and 337.06 is: 506.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.06 : 1,235.81 = 337.06 : x
  2. Step 2: Convert to fraction form
    823.06/1,235.81 = 337.06/x
  3. Step 3: Cross multiply
    823.06x = 1,235.81 × 337.06
  4. Step 4: Simplify right side
    823.06x = 416,542.12
  5. Step 5: Solve for x
    x = 416,542.12/823.06
  6. Step 6: Final answer
    x = 506.09

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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.