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Finding the Fourth Proportional to 1,448.69, 2,171.81 and 717.26

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Solution

The fourth proportional to 1,448.69, 2,171.81 and 717.26 is: 1,075.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.69 : 2,171.81 = 717.26 : x
  2. Step 2: Convert to fraction form
    1,448.69/2,171.81 = 717.26/x
  3. Step 3: Cross multiply
    1,448.69x = 2,171.81 × 717.26
  4. Step 4: Simplify right side
    1,448.69x = 1,557,743.37
  5. Step 5: Solve for x
    x = 1,557,743.37/1,448.69
  6. Step 6: Final answer
    x = 1,075.28

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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.