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Finding the Fourth Proportional to 725.94, 1,090.26 and 379.52

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Solution

The fourth proportional to 725.94, 1,090.26 and 379.52 is: 569.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.94 : 1,090.26 = 379.52 : x
  2. Step 2: Convert to fraction form
    725.94/1,090.26 = 379.52/x
  3. Step 3: Cross multiply
    725.94x = 1,090.26 × 379.52
  4. Step 4: Simplify right side
    725.94x = 413,775.48
  5. Step 5: Solve for x
    x = 413,775.48/725.94
  6. Step 6: Final answer
    x = 569.99

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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.