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Finding the Fourth Proportional to 1,216.92, 1,678.74 and 719.31

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Solution

The fourth proportional to 1,216.92, 1,678.74 and 719.31 is: 992.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.92 : 1,678.74 = 719.31 : x
  2. Step 2: Convert to fraction form
    1,216.92/1,678.74 = 719.31/x
  3. Step 3: Cross multiply
    1,216.92x = 1,678.74 × 719.31
  4. Step 4: Simplify right side
    1,216.92x = 1,207,542.11
  5. Step 5: Solve for x
    x = 1,207,542.11/1,216.92
  6. Step 6: Final answer
    x = 992.29

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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.