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Finding the Fourth Proportional to 1,224.78, 1,836.79 and 402.87

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Solution

The fourth proportional to 1,224.78, 1,836.79 and 402.87 is: 604.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.78 : 1,836.79 = 402.87 : x
  2. Step 2: Convert to fraction form
    1,224.78/1,836.79 = 402.87/x
  3. Step 3: Cross multiply
    1,224.78x = 1,836.79 × 402.87
  4. Step 4: Simplify right side
    1,224.78x = 739,987.59
  5. Step 5: Solve for x
    x = 739,987.59/1,224.78
  6. Step 6: Final answer
    x = 604.18

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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.