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Finding the Fourth Proportional to 729.05, 1,006.07 and 449.16

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Solution

The fourth proportional to 729.05, 1,006.07 and 449.16 is: 619.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.05 : 1,006.07 = 449.16 : x
  2. Step 2: Convert to fraction form
    729.05/1,006.07 = 449.16/x
  3. Step 3: Cross multiply
    729.05x = 1,006.07 × 449.16
  4. Step 4: Simplify right side
    729.05x = 451,884.16
  5. Step 5: Solve for x
    x = 451,884.16/729.05
  6. Step 6: Final answer
    x = 619.83

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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.