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Finding the Fourth Proportional to 721.24, 1,082.50 and 374.82

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Solution

The fourth proportional to 721.24, 1,082.50 and 374.82 is: 562.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.24 : 1,082.50 = 374.82 : x
  2. Step 2: Convert to fraction form
    721.24/1,082.50 = 374.82/x
  3. Step 3: Cross multiply
    721.24x = 1,082.50 × 374.82
  4. Step 4: Simplify right side
    721.24x = 405,739.76
  5. Step 5: Solve for x
    x = 405,739.76/721.24
  6. Step 6: Final answer
    x = 562.56

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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.