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Finding the Fourth Proportional to 823.89, 1,235.82 and 310.89

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Solution

The fourth proportional to 823.89, 1,235.82 and 310.89 is: 466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.89 : 1,235.82 = 310.89 : x
  2. Step 2: Convert to fraction form
    823.89/1,235.82 = 310.89/x
  3. Step 3: Cross multiply
    823.89x = 1,235.82 × 310.89
  4. Step 4: Simplify right side
    823.89x = 384,204.08
  5. Step 5: Solve for x
    x = 384,204.08/823.89
  6. Step 6: Final answer
    x = 466.33

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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.