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Finding the Fourth Proportional to 725.94, 1,001.75 and 431.37

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Solution

The fourth proportional to 725.94, 1,001.75 and 431.37 is: 595.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.94 : 1,001.75 = 431.37 : x
  2. Step 2: Convert to fraction form
    725.94/1,001.75 = 431.37/x
  3. Step 3: Cross multiply
    725.94x = 1,001.75 × 431.37
  4. Step 4: Simplify right side
    725.94x = 432,122.74
  5. Step 5: Solve for x
    x = 432,122.74/725.94
  6. Step 6: Final answer
    x = 595.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.