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Finding the Fourth Proportional to 729.89, 1,007.25 and 419.39

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Solution

The fourth proportional to 729.89, 1,007.25 and 419.39 is: 578.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.89 : 1,007.25 = 419.39 : x
  2. Step 2: Convert to fraction form
    729.89/1,007.25 = 419.39/x
  3. Step 3: Cross multiply
    729.89x = 1,007.25 × 419.39
  4. Step 4: Simplify right side
    729.89x = 422,430.58
  5. Step 5: Solve for x
    x = 422,430.58/729.89
  6. Step 6: Final answer
    x = 578.76

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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.