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Finding the Fourth Proportional to 1,224.11, 1,834.62 and 493.28

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Solution

The fourth proportional to 1,224.11, 1,834.62 and 493.28 is: 739.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.11 : 1,834.62 = 493.28 : x
  2. Step 2: Convert to fraction form
    1,224.11/1,834.62 = 493.28/x
  3. Step 3: Cross multiply
    1,224.11x = 1,834.62 × 493.28
  4. Step 4: Simplify right side
    1,224.11x = 904,972.18
  5. Step 5: Solve for x
    x = 904,972.18/1,224.11
  6. Step 6: Final answer
    x = 739.29

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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.