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Finding the Fourth Proportional to 1,226.22, 1,838.85 and 446.07

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Solution

The fourth proportional to 1,226.22, 1,838.85 and 446.07 is: 668.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.22 : 1,838.85 = 446.07 : x
  2. Step 2: Convert to fraction form
    1,226.22/1,838.85 = 446.07/x
  3. Step 3: Cross multiply
    1,226.22x = 1,838.85 × 446.07
  4. Step 4: Simplify right side
    1,226.22x = 820,255.82
  5. Step 5: Solve for x
    x = 820,255.82/1,226.22
  6. Step 6: Final answer
    x = 668.93

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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.