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Finding the Fourth Proportional to 1,216.16, 1,678.45 and 796.61

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Solution

The fourth proportional to 1,216.16, 1,678.45 and 796.61 is: 1,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.16 : 1,678.45 = 796.61 : x
  2. Step 2: Convert to fraction form
    1,216.16/1,678.45 = 796.61/x
  3. Step 3: Cross multiply
    1,216.16x = 1,678.45 × 796.61
  4. Step 4: Simplify right side
    1,216.16x = 1,337,072.26
  5. Step 5: Solve for x
    x = 1,337,072.26/1,216.16
  6. Step 6: Final answer
    x = 1,099.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.