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Finding the Fourth Proportional to 1,249.20, 1,872.24 and 599.76

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Solution

The fourth proportional to 1,249.20, 1,872.24 and 599.76 is: 898.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.20 : 1,872.24 = 599.76 : x
  2. Step 2: Convert to fraction form
    1,249.20/1,872.24 = 599.76/x
  3. Step 3: Cross multiply
    1,249.20x = 1,872.24 × 599.76
  4. Step 4: Simplify right side
    1,249.20x = 1,122,894.66
  5. Step 5: Solve for x
    x = 1,122,894.66/1,249.20
  6. Step 6: Final answer
    x = 898.89

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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.