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Finding the Fourth Proportional to 721.77, 1,082.39 and 336.75

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Solution

The fourth proportional to 721.77, 1,082.39 and 336.75 is: 505.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.77 : 1,082.39 = 336.75 : x
  2. Step 2: Convert to fraction form
    721.77/1,082.39 = 336.75/x
  3. Step 3: Cross multiply
    721.77x = 1,082.39 × 336.75
  4. Step 4: Simplify right side
    721.77x = 364,493.15
  5. Step 5: Solve for x
    x = 364,493.15/721.77
  6. Step 6: Final answer
    x = 505.00

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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.