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Finding the Fourth Proportional to 725.99, 1,089.08 and 263.71

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Solution

The fourth proportional to 725.99, 1,089.08 and 263.71 is: 395.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.99 : 1,089.08 = 263.71 : x
  2. Step 2: Convert to fraction form
    725.99/1,089.08 = 263.71/x
  3. Step 3: Cross multiply
    725.99x = 1,089.08 × 263.71
  4. Step 4: Simplify right side
    725.99x = 287,201.29
  5. Step 5: Solve for x
    x = 287,201.29/725.99
  6. Step 6: Final answer
    x = 395.60

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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.