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Finding the Fourth Proportional to 721.69, 1,082.67 and 336.94

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Solution

The fourth proportional to 721.69, 1,082.67 and 336.94 is: 505.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.69 : 1,082.67 = 336.94 : x
  2. Step 2: Convert to fraction form
    721.69/1,082.67 = 336.94/x
  3. Step 3: Cross multiply
    721.69x = 1,082.67 × 336.94
  4. Step 4: Simplify right side
    721.69x = 364,790.86
  5. Step 5: Solve for x
    x = 364,790.86/721.69
  6. Step 6: Final answer
    x = 505.47

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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.