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Finding the Fourth Proportional to 723.88, 1,085.82 and 211.24

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Solution

The fourth proportional to 723.88, 1,085.82 and 211.24 is: 316.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.88 : 1,085.82 = 211.24 : x
  2. Step 2: Convert to fraction form
    723.88/1,085.82 = 211.24/x
  3. Step 3: Cross multiply
    723.88x = 1,085.82 × 211.24
  4. Step 4: Simplify right side
    723.88x = 229,368.62
  5. Step 5: Solve for x
    x = 229,368.62/723.88
  6. Step 6: Final answer
    x = 316.86

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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.