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Finding the Fourth Proportional to 729.39, 1,093.72 and 469.34

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Solution

The fourth proportional to 729.39, 1,093.72 and 469.34 is: 703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.39 : 1,093.72 = 469.34 : x
  2. Step 2: Convert to fraction form
    729.39/1,093.72 = 469.34/x
  3. Step 3: Cross multiply
    729.39x = 1,093.72 × 469.34
  4. Step 4: Simplify right side
    729.39x = 513,326.54
  5. Step 5: Solve for x
    x = 513,326.54/729.39
  6. Step 6: Final answer
    x = 703.78

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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.