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Finding the Fourth Proportional to 1,448.07, 1,995.65 and 1,028.44

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Solution

The fourth proportional to 1,448.07, 1,995.65 and 1,028.44 is: 1,417.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.07 : 1,995.65 = 1,028.44 : x
  2. Step 2: Convert to fraction form
    1,448.07/1,995.65 = 1,028.44/x
  3. Step 3: Cross multiply
    1,448.07x = 1,995.65 × 1,028.44
  4. Step 4: Simplify right side
    1,448.07x = 2,052,396.31
  5. Step 5: Solve for x
    x = 2,052,396.31/1,448.07
  6. Step 6: Final answer
    x = 1,417.34

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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.