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Finding the Fourth Proportional to 725, 1,086.86 and 465.08

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Solution

The fourth proportional to 725, 1,086.86 and 465.08 is: 697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    725 : 1,086.86 = 465.08 : x
  2. Step 2: Convert to fraction form
    725/1,086.86 = 465.08/x
  3. Step 3: Cross multiply
    725x = 1,086.86 × 465.08
  4. Step 4: Simplify right side
    725x = 505,469.09
  5. Step 5: Solve for x
    x = 505,469.09/725
  6. Step 6: Final answer
    x = 697.20

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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.