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Finding the Fourth Proportional to 1,448.49, 1,998.92 and 850.83

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Solution

The fourth proportional to 1,448.49, 1,998.92 and 850.83 is: 1,174.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.49 : 1,998.92 = 850.83 : x
  2. Step 2: Convert to fraction form
    1,448.49/1,998.92 = 850.83/x
  3. Step 3: Cross multiply
    1,448.49x = 1,998.92 × 850.83
  4. Step 4: Simplify right side
    1,448.49x = 1,700,741.10
  5. Step 5: Solve for x
    x = 1,700,741.10/1,448.49
  6. Step 6: Final answer
    x = 1,174.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.