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Finding the Fourth Proportional to 863.72, 1,298.70 and 796.07

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Solution

The fourth proportional to 863.72, 1,298.70 and 796.07 is: 1,196.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.72 : 1,298.70 = 796.07 : x
  2. Step 2: Convert to fraction form
    863.72/1,298.70 = 796.07/x
  3. Step 3: Cross multiply
    863.72x = 1,298.70 × 796.07
  4. Step 4: Simplify right side
    863.72x = 1,033,849.62
  5. Step 5: Solve for x
    x = 1,033,849.62/863.72
  6. Step 6: Final answer
    x = 1,196.98

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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.