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Finding the Fourth Proportional to 823.77, 1,235.67 and 336.72

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Solution

The fourth proportional to 823.77, 1,235.67 and 336.72 is: 505.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.77 : 1,235.67 = 336.72 : x
  2. Step 2: Convert to fraction form
    823.77/1,235.67 = 336.72/x
  3. Step 3: Cross multiply
    823.77x = 1,235.67 × 336.72
  4. Step 4: Simplify right side
    823.77x = 416,074.80
  5. Step 5: Solve for x
    x = 416,074.80/823.77
  6. Step 6: Final answer
    x = 505.09

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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.