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Finding the Fourth Proportional to 725.00, 1,086.96 and 465.29

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Solution

The fourth proportional to 725.00, 1,086.96 and 465.29 is: 697.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.00 : 1,086.96 = 465.29 : x
  2. Step 2: Convert to fraction form
    725.00/1,086.96 = 465.29/x
  3. Step 3: Cross multiply
    725.00x = 1,086.96 × 465.29
  4. Step 4: Simplify right side
    725.00x = 505,751.62
  5. Step 5: Solve for x
    x = 505,751.62/725.00
  6. Step 6: Final answer
    x = 697.59

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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.