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Finding the Fourth Proportional to 1,448.26, 2,171 and 523.64

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Solution

The fourth proportional to 1,448.26, 2,171 and 523.64 is: 784.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.26 : 2,171 = 523.64 : x
  2. Step 2: Convert to fraction form
    1,448.26/2,171 = 523.64/x
  3. Step 3: Cross multiply
    1,448.26x = 2,171 × 523.64
  4. Step 4: Simplify right side
    1,448.26x = 1,136,822.44
  5. Step 5: Solve for x
    x = 1,136,822.44/1,448.26
  6. Step 6: Final answer
    x = 784.96

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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.