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Finding the Fourth Proportional to 1,263.05, 1,892.10 and 828.89

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Solution

The fourth proportional to 1,263.05, 1,892.10 and 828.89 is: 1,241.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.05 : 1,892.10 = 828.89 : x
  2. Step 2: Convert to fraction form
    1,263.05/1,892.10 = 828.89/x
  3. Step 3: Cross multiply
    1,263.05x = 1,892.10 × 828.89
  4. Step 4: Simplify right side
    1,263.05x = 1,568,342.77
  5. Step 5: Solve for x
    x = 1,568,342.77/1,263.05
  6. Step 6: Final answer
    x = 1,241.71

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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.