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Finding the Fourth Proportional to 725.94, 1,002.05 and 431.46

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Solution

The fourth proportional to 725.94, 1,002.05 and 431.46 is: 595.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.94 : 1,002.05 = 431.46 : x
  2. Step 2: Convert to fraction form
    725.94/1,002.05 = 431.46/x
  3. Step 3: Cross multiply
    725.94x = 1,002.05 × 431.46
  4. Step 4: Simplify right side
    725.94x = 432,344.49
  5. Step 5: Solve for x
    x = 432,344.49/725.94
  6. Step 6: Final answer
    x = 595.57

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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.