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Finding the Fourth Proportional to 729.33, 1,006.22 and 449.27

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Solution

The fourth proportional to 729.33, 1,006.22 and 449.27 is: 619.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.33 : 1,006.22 = 449.27 : x
  2. Step 2: Convert to fraction form
    729.33/1,006.22 = 449.27/x
  3. Step 3: Cross multiply
    729.33x = 1,006.22 × 449.27
  4. Step 4: Simplify right side
    729.33x = 452,064.46
  5. Step 5: Solve for x
    x = 452,064.46/729.33
  6. Step 6: Final answer
    x = 619.84

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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.