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Finding the Fourth Proportional to 1,321.53, 1,982.27 and 455.91

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Solution

The fourth proportional to 1,321.53, 1,982.27 and 455.91 is: 683.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.53 : 1,982.27 = 455.91 : x
  2. Step 2: Convert to fraction form
    1,321.53/1,982.27 = 455.91/x
  3. Step 3: Cross multiply
    1,321.53x = 1,982.27 × 455.91
  4. Step 4: Simplify right side
    1,321.53x = 903,734.44
  5. Step 5: Solve for x
    x = 903,734.44/1,321.53
  6. Step 6: Final answer
    x = 683.85

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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.