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Finding the Fourth Proportional to 699, 1,048.22 and 211.96

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Solution

The fourth proportional to 699, 1,048.22 and 211.96 is: 317.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    699 : 1,048.22 = 211.96 : x
  2. Step 2: Convert to fraction form
    699/1,048.22 = 211.96/x
  3. Step 3: Cross multiply
    699x = 1,048.22 × 211.96
  4. Step 4: Simplify right side
    699x = 222,180.71
  5. Step 5: Solve for x
    x = 222,180.71/699
  6. Step 6: Final answer
    x = 317.86

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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.