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Finding the Fourth Proportional to 829.75, 1,244.67 and 316.75

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Solution

The fourth proportional to 829.75, 1,244.67 and 316.75 is: 475.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.75 : 1,244.67 = 316.75 : x
  2. Step 2: Convert to fraction form
    829.75/1,244.67 = 316.75/x
  3. Step 3: Cross multiply
    829.75x = 1,244.67 × 316.75
  4. Step 4: Simplify right side
    829.75x = 394,249.22
  5. Step 5: Solve for x
    x = 394,249.22/829.75
  6. Step 6: Final answer
    x = 475.14

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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.