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Finding the Fourth Proportional to 862.75, 1,294.12 and 314.97

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Solution

The fourth proportional to 862.75, 1,294.12 and 314.97 is: 472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.75 : 1,294.12 = 314.97 : x
  2. Step 2: Convert to fraction form
    862.75/1,294.12 = 314.97/x
  3. Step 3: Cross multiply
    862.75x = 1,294.12 × 314.97
  4. Step 4: Simplify right side
    862.75x = 407,608.98
  5. Step 5: Solve for x
    x = 407,608.98/862.75
  6. Step 6: Final answer
    x = 472.45

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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.