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Finding the Fourth Proportional to 1,633.21, 2,449.52 and 478.69

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Solution

The fourth proportional to 1,633.21, 2,449.52 and 478.69 is: 717.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.21 : 2,449.52 = 478.69 : x
  2. Step 2: Convert to fraction form
    1,633.21/2,449.52 = 478.69/x
  3. Step 3: Cross multiply
    1,633.21x = 2,449.52 × 478.69
  4. Step 4: Simplify right side
    1,633.21x = 1,172,554.01
  5. Step 5: Solve for x
    x = 1,172,554.01/1,633.21
  6. Step 6: Final answer
    x = 717.95

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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.