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Finding the Fourth Proportional to 722.25, 1,082.75 and 447.74

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Solution

The fourth proportional to 722.25, 1,082.75 and 447.74 is: 671.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.25 : 1,082.75 = 447.74 : x
  2. Step 2: Convert to fraction form
    722.25/1,082.75 = 447.74/x
  3. Step 3: Cross multiply
    722.25x = 1,082.75 × 447.74
  4. Step 4: Simplify right side
    722.25x = 484,790.49
  5. Step 5: Solve for x
    x = 484,790.49/722.25
  6. Step 6: Final answer
    x = 671.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.