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Finding the Fourth Proportional to 698.92, 1,048.32 and 211.99

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Solution

The fourth proportional to 698.92, 1,048.32 and 211.99 is: 317.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.92 : 1,048.32 = 211.99 : x
  2. Step 2: Convert to fraction form
    698.92/1,048.32 = 211.99/x
  3. Step 3: Cross multiply
    698.92x = 1,048.32 × 211.99
  4. Step 4: Simplify right side
    698.92x = 222,233.36
  5. Step 5: Solve for x
    x = 222,233.36/698.92
  6. Step 6: Final answer
    x = 317.97

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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.