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Finding the Fourth Proportional to 844.23, 1,269.24 and 683.04

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Solution

The fourth proportional to 844.23, 1,269.24 and 683.04 is: 1,026.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.23 : 1,269.24 = 683.04 : x
  2. Step 2: Convert to fraction form
    844.23/1,269.24 = 683.04/x
  3. Step 3: Cross multiply
    844.23x = 1,269.24 × 683.04
  4. Step 4: Simplify right side
    844.23x = 866,941.69
  5. Step 5: Solve for x
    x = 866,941.69/844.23
  6. Step 6: Final answer
    x = 1,026.90

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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.