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Finding the Fourth Proportional to 1,216.57, 1,678.27 and 718.97

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Solution

The fourth proportional to 1,216.57, 1,678.27 and 718.97 is: 991.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.57 : 1,678.27 = 718.97 : x
  2. Step 2: Convert to fraction form
    1,216.57/1,678.27 = 718.97/x
  3. Step 3: Cross multiply
    1,216.57x = 1,678.27 × 718.97
  4. Step 4: Simplify right side
    1,216.57x = 1,206,622.19
  5. Step 5: Solve for x
    x = 1,206,622.19/1,216.57
  6. Step 6: Final answer
    x = 991.82

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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.