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Finding the Fourth Proportional to 863.07, 1,293.68 and 342.35

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Solution

The fourth proportional to 863.07, 1,293.68 and 342.35 is: 513.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.07 : 1,293.68 = 342.35 : x
  2. Step 2: Convert to fraction form
    863.07/1,293.68 = 342.35/x
  3. Step 3: Cross multiply
    863.07x = 1,293.68 × 342.35
  4. Step 4: Simplify right side
    863.07x = 442,889.62
  5. Step 5: Solve for x
    x = 442,889.62/863.07
  6. Step 6: Final answer
    x = 513.16

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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.