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Finding the Fourth Proportional to 1,448.44, 1,998.86 and 850.84

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Solution

The fourth proportional to 1,448.44, 1,998.86 and 850.84 is: 1,174.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.44 : 1,998.86 = 850.84 : x
  2. Step 2: Convert to fraction form
    1,448.44/1,998.86 = 850.84/x
  3. Step 3: Cross multiply
    1,448.44x = 1,998.86 × 850.84
  4. Step 4: Simplify right side
    1,448.44x = 1,700,710.04
  5. Step 5: Solve for x
    x = 1,700,710.04/1,448.44
  6. Step 6: Final answer
    x = 1,174.17

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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.