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Finding the Fourth Proportional to 722.20, 1,082.22 and 396.58

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Solution

The fourth proportional to 722.20, 1,082.22 and 396.58 is: 594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.20 : 1,082.22 = 396.58 : x
  2. Step 2: Convert to fraction form
    722.20/1,082.22 = 396.58/x
  3. Step 3: Cross multiply
    722.20x = 1,082.22 × 396.58
  4. Step 4: Simplify right side
    722.20x = 429,186.81
  5. Step 5: Solve for x
    x = 429,186.81/722.20
  6. Step 6: Final answer
    x = 594.28

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