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Finding the Fourth Proportional to 729.15, 1,093.56 and 209.14

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Solution

The fourth proportional to 729.15, 1,093.56 and 209.14 is: 313.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.15 : 1,093.56 = 209.14 : x
  2. Step 2: Convert to fraction form
    729.15/1,093.56 = 209.14/x
  3. Step 3: Cross multiply
    729.15x = 1,093.56 × 209.14
  4. Step 4: Simplify right side
    729.15x = 228,707.14
  5. Step 5: Solve for x
    x = 228,707.14/729.15
  6. Step 6: Final answer
    x = 313.66

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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.