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Finding the Fourth Proportional to 1,215.91, 1,678.51 and 796.28

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Solution

The fourth proportional to 1,215.91, 1,678.51 and 796.28 is: 1,099.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.91 : 1,678.51 = 796.28 : x
  2. Step 2: Convert to fraction form
    1,215.91/1,678.51 = 796.28/x
  3. Step 3: Cross multiply
    1,215.91x = 1,678.51 × 796.28
  4. Step 4: Simplify right side
    1,215.91x = 1,336,559.69
  5. Step 5: Solve for x
    x = 1,336,559.69/1,215.91
  6. Step 6: Final answer
    x = 1,099.23

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