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Finding the Fourth Proportional to 725.13, 1,000.67 and 414.69

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Solution

The fourth proportional to 725.13, 1,000.67 and 414.69 is: 572.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.13 : 1,000.67 = 414.69 : x
  2. Step 2: Convert to fraction form
    725.13/1,000.67 = 414.69/x
  3. Step 3: Cross multiply
    725.13x = 1,000.67 × 414.69
  4. Step 4: Simplify right side
    725.13x = 414,967.84
  5. Step 5: Solve for x
    x = 414,967.84/725.13
  6. Step 6: Final answer
    x = 572.27

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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.