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Finding the Fourth Proportional to 1,226.86, 1,839.73 and 446.63

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Solution

The fourth proportional to 1,226.86, 1,839.73 and 446.63 is: 669.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.86 : 1,839.73 = 446.63 : x
  2. Step 2: Convert to fraction form
    1,226.86/1,839.73 = 446.63/x
  3. Step 3: Cross multiply
    1,226.86x = 1,839.73 × 446.63
  4. Step 4: Simplify right side
    1,226.86x = 821,671.25
  5. Step 5: Solve for x
    x = 821,671.25/1,226.86
  6. Step 6: Final answer
    x = 669.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.