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Finding the Fourth Proportional to 725.10, 1,087.50 and 262.80

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Solution

The fourth proportional to 725.10, 1,087.50 and 262.80 is: 394.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.10 : 1,087.50 = 262.80 : x
  2. Step 2: Convert to fraction form
    725.10/1,087.50 = 262.80/x
  3. Step 3: Cross multiply
    725.10x = 1,087.50 × 262.80
  4. Step 4: Simplify right side
    725.10x = 285,795
  5. Step 5: Solve for x
    x = 285,795/725.10
  6. Step 6: Final answer
    x = 394.15

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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.