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Finding the Fourth Proportional to 1,224.64, 1,837.13 and 402.73

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Solution

The fourth proportional to 1,224.64, 1,837.13 and 402.73 is: 604.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.64 : 1,837.13 = 402.73 : x
  2. Step 2: Convert to fraction form
    1,224.64/1,837.13 = 402.73/x
  3. Step 3: Cross multiply
    1,224.64x = 1,837.13 × 402.73
  4. Step 4: Simplify right side
    1,224.64x = 739,867.36
  5. Step 5: Solve for x
    x = 739,867.36/1,224.64
  6. Step 6: Final answer
    x = 604.15

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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.