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Finding the Fourth Proportional to 729.49, 1,094.26 and 209.54

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Solution

The fourth proportional to 729.49, 1,094.26 and 209.54 is: 314.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.49 : 1,094.26 = 209.54 : x
  2. Step 2: Convert to fraction form
    729.49/1,094.26 = 209.54/x
  3. Step 3: Cross multiply
    729.49x = 1,094.26 × 209.54
  4. Step 4: Simplify right side
    729.49x = 229,287.98
  5. Step 5: Solve for x
    x = 229,287.98/729.49
  6. Step 6: Final answer
    x = 314.31

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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.