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Finding the Fourth Proportional to 725.94, 1,091.07 and 341.46

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Solution

The fourth proportional to 725.94, 1,091.07 and 341.46 is: 513.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.94 : 1,091.07 = 341.46 : x
  2. Step 2: Convert to fraction form
    725.94/1,091.07 = 341.46/x
  3. Step 3: Cross multiply
    725.94x = 1,091.07 × 341.46
  4. Step 4: Simplify right side
    725.94x = 372,556.76
  5. Step 5: Solve for x
    x = 372,556.76/725.94
  6. Step 6: Final answer
    x = 513.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.