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Finding the Fourth Proportional to 863.19, 1,293.87 and 342.47

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Solution

The fourth proportional to 863.19, 1,293.87 and 342.47 is: 513.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.19 : 1,293.87 = 342.47 : x
  2. Step 2: Convert to fraction form
    863.19/1,293.87 = 342.47/x
  3. Step 3: Cross multiply
    863.19x = 1,293.87 × 342.47
  4. Step 4: Simplify right side
    863.19x = 443,115.65
  5. Step 5: Solve for x
    x = 443,115.65/863.19
  6. Step 6: Final answer
    x = 513.34

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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.