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Finding the Fourth Proportional to 1,224.39, 1,836.78 and 402.48

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Solution

The fourth proportional to 1,224.39, 1,836.78 and 402.48 is: 603.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.39 : 1,836.78 = 402.48 : x
  2. Step 2: Convert to fraction form
    1,224.39/1,836.78 = 402.48/x
  3. Step 3: Cross multiply
    1,224.39x = 1,836.78 × 402.48
  4. Step 4: Simplify right side
    1,224.39x = 739,265.71
  5. Step 5: Solve for x
    x = 739,265.71/1,224.39
  6. Step 6: Final answer
    x = 603.78

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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.