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Finding the Fourth Proportional to 1,224.54, 1,836.84 and 300.09

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Solution

The fourth proportional to 1,224.54, 1,836.84 and 300.09 is: 450.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.54 : 1,836.84 = 300.09 : x
  2. Step 2: Convert to fraction form
    1,224.54/1,836.84 = 300.09/x
  3. Step 3: Cross multiply
    1,224.54x = 1,836.84 × 300.09
  4. Step 4: Simplify right side
    1,224.54x = 551,217.32
  5. Step 5: Solve for x
    x = 551,217.32/1,224.54
  6. Step 6: Final answer
    x = 450.14

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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.