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Finding the Fourth Proportional to 729.92, 1,007.25 and 419.42

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Solution

The fourth proportional to 729.92, 1,007.25 and 419.42 is: 578.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.92 : 1,007.25 = 419.42 : x
  2. Step 2: Convert to fraction form
    729.92/1,007.25 = 419.42/x
  3. Step 3: Cross multiply
    729.92x = 1,007.25 × 419.42
  4. Step 4: Simplify right side
    729.92x = 422,460.80
  5. Step 5: Solve for x
    x = 422,460.80/729.92
  6. Step 6: Final answer
    x = 578.78

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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.