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Finding the Fourth Proportional to 1,224.36, 1,834.11 and 573.12

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Solution

The fourth proportional to 1,224.36, 1,834.11 and 573.12 is: 858.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.36 : 1,834.11 = 573.12 : x
  2. Step 2: Convert to fraction form
    1,224.36/1,834.11 = 573.12/x
  3. Step 3: Cross multiply
    1,224.36x = 1,834.11 × 573.12
  4. Step 4: Simplify right side
    1,224.36x = 1,051,165.12
  5. Step 5: Solve for x
    x = 1,051,165.12/1,224.36
  6. Step 6: Final answer
    x = 858.54

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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.