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Finding the Fourth Proportional to 1,448.49, 2,171.77 and 523.92

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Solution

The fourth proportional to 1,448.49, 2,171.77 and 523.92 is: 785.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.49 : 2,171.77 = 523.92 : x
  2. Step 2: Convert to fraction form
    1,448.49/2,171.77 = 523.92/x
  3. Step 3: Cross multiply
    1,448.49x = 2,171.77 × 523.92
  4. Step 4: Simplify right side
    1,448.49x = 1,137,838.99
  5. Step 5: Solve for x
    x = 1,137,838.99/1,448.49
  6. Step 6: Final answer
    x = 785.54

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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.