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Finding the Fourth Proportional to 728.99, 1,093.31 and 209.04

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Solution

The fourth proportional to 728.99, 1,093.31 and 209.04 is: 313.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.99 : 1,093.31 = 209.04 : x
  2. Step 2: Convert to fraction form
    728.99/1,093.31 = 209.04/x
  3. Step 3: Cross multiply
    728.99x = 1,093.31 × 209.04
  4. Step 4: Simplify right side
    728.99x = 228,544.48
  5. Step 5: Solve for x
    x = 228,544.48/728.99
  6. Step 6: Final answer
    x = 313.51

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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.