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Finding the Fourth Proportional to 829.89, 1,244.82 and 316.89

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Solution

The fourth proportional to 829.89, 1,244.82 and 316.89 is: 475.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.89 : 1,244.82 = 316.89 : x
  2. Step 2: Convert to fraction form
    829.89/1,244.82 = 316.89/x
  3. Step 3: Cross multiply
    829.89x = 1,244.82 × 316.89
  4. Step 4: Simplify right side
    829.89x = 394,471.01
  5. Step 5: Solve for x
    x = 394,471.01/829.89
  6. Step 6: Final answer
    x = 475.33

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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.