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Finding the Fourth Proportional to 862.14, 1,293.89 and 314.85

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Solution

The fourth proportional to 862.14, 1,293.89 and 314.85 is: 472.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.14 : 1,293.89 = 314.85 : x
  2. Step 2: Convert to fraction form
    862.14/1,293.89 = 314.85/x
  3. Step 3: Cross multiply
    862.14x = 1,293.89 × 314.85
  4. Step 4: Simplify right side
    862.14x = 407,379.69
  5. Step 5: Solve for x
    x = 407,379.69/862.14
  6. Step 6: Final answer
    x = 472.52

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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.