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Finding the Fourth Proportional to 1,222.99, 1,834.49 and 443.10

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Solution

The fourth proportional to 1,222.99, 1,834.49 and 443.10 is: 664.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.99 : 1,834.49 = 443.10 : x
  2. Step 2: Convert to fraction form
    1,222.99/1,834.49 = 443.10/x
  3. Step 3: Cross multiply
    1,222.99x = 1,834.49 × 443.10
  4. Step 4: Simplify right side
    1,222.99x = 812,851.13
  5. Step 5: Solve for x
    x = 812,851.13/1,222.99
  6. Step 6: Final answer
    x = 664.64

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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.