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Finding the Fourth Proportional to 725.23, 1,088.25 and 360.37

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Solution

The fourth proportional to 725.23, 1,088.25 and 360.37 is: 540.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.23 : 1,088.25 = 360.37 : x
  2. Step 2: Convert to fraction form
    725.23/1,088.25 = 360.37/x
  3. Step 3: Cross multiply
    725.23x = 1,088.25 × 360.37
  4. Step 4: Simplify right side
    725.23x = 392,172.65
  5. Step 5: Solve for x
    x = 392,172.65/725.23
  6. Step 6: Final answer
    x = 540.76

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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.