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Finding the Fourth Proportional to 1,224.39, 1,836.25 and 402.58

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Solution

The fourth proportional to 1,224.39, 1,836.25 and 402.58 is: 603.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.39 : 1,836.25 = 402.58 : x
  2. Step 2: Convert to fraction form
    1,224.39/1,836.25 = 402.58/x
  3. Step 3: Cross multiply
    1,224.39x = 1,836.25 × 402.58
  4. Step 4: Simplify right side
    1,224.39x = 739,231.93
  5. Step 5: Solve for x
    x = 739,231.93/1,224.39
  6. Step 6: Final answer
    x = 603.76

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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.