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Finding the Fourth Proportional to 1,262.44, 1,892.58 and 699.76

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Solution

The fourth proportional to 1,262.44, 1,892.58 and 699.76 is: 1,049.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.44 : 1,892.58 = 699.76 : x
  2. Step 2: Convert to fraction form
    1,262.44/1,892.58 = 699.76/x
  3. Step 3: Cross multiply
    1,262.44x = 1,892.58 × 699.76
  4. Step 4: Simplify right side
    1,262.44x = 1,324,351.78
  5. Step 5: Solve for x
    x = 1,324,351.78/1,262.44
  6. Step 6: Final answer
    x = 1,049.04

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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.