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Finding the Fourth Proportional to 698.78, 1,048.17 and 211.84

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Solution

The fourth proportional to 698.78, 1,048.17 and 211.84 is: 317.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.78 : 1,048.17 = 211.84 : x
  2. Step 2: Convert to fraction form
    698.78/1,048.17 = 211.84/x
  3. Step 3: Cross multiply
    698.78x = 1,048.17 × 211.84
  4. Step 4: Simplify right side
    698.78x = 222,043.67
  5. Step 5: Solve for x
    x = 222,043.67/698.78
  6. Step 6: Final answer
    x = 317.76

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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.