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Finding the Fourth Proportional to 1,224.08, 1,834.82 and 668.22

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Solution

The fourth proportional to 1,224.08, 1,834.82 and 668.22 is: 1,001.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.08 : 1,834.82 = 668.22 : x
  2. Step 2: Convert to fraction form
    1,224.08/1,834.82 = 668.22/x
  3. Step 3: Cross multiply
    1,224.08x = 1,834.82 × 668.22
  4. Step 4: Simplify right side
    1,224.08x = 1,226,063.42
  5. Step 5: Solve for x
    x = 1,226,063.42/1,224.08
  6. Step 6: Final answer
    x = 1,001.62

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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.