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Finding the Fourth Proportional to 722.44, 1,082.94 and 397.48

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Solution

The fourth proportional to 722.44, 1,082.94 and 397.48 is: 595.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.44 : 1,082.94 = 397.48 : x
  2. Step 2: Convert to fraction form
    722.44/1,082.94 = 397.48/x
  3. Step 3: Cross multiply
    722.44x = 1,082.94 × 397.48
  4. Step 4: Simplify right side
    722.44x = 430,446.99
  5. Step 5: Solve for x
    x = 430,446.99/722.44
  6. Step 6: Final answer
    x = 595.82

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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.