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Finding the Fourth Proportional to 729.76, 1,006.94 and 419.26

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Solution

The fourth proportional to 729.76, 1,006.94 and 419.26 is: 578.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.76 : 1,006.94 = 419.26 : x
  2. Step 2: Convert to fraction form
    729.76/1,006.94 = 419.26/x
  3. Step 3: Cross multiply
    729.76x = 1,006.94 × 419.26
  4. Step 4: Simplify right side
    729.76x = 422,169.66
  5. Step 5: Solve for x
    x = 422,169.66/729.76
  6. Step 6: Final answer
    x = 578.50

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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.