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Finding the Fourth Proportional to 725.24, 1,000.94 and 414.84

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Solution

The fourth proportional to 725.24, 1,000.94 and 414.84 is: 572.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.24 : 1,000.94 = 414.84 : x
  2. Step 2: Convert to fraction form
    725.24/1,000.94 = 414.84/x
  3. Step 3: Cross multiply
    725.24x = 1,000.94 × 414.84
  4. Step 4: Simplify right side
    725.24x = 415,229.95
  5. Step 5: Solve for x
    x = 415,229.95/725.24
  6. Step 6: Final answer
    x = 572.54

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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.