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Finding the Fourth Proportional to 1,447.97, 2,172.54 and 523.95

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Solution

The fourth proportional to 1,447.97, 2,172.54 and 523.95 is: 786.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.97 : 2,172.54 = 523.95 : x
  2. Step 2: Convert to fraction form
    1,447.97/2,172.54 = 523.95/x
  3. Step 3: Cross multiply
    1,447.97x = 2,172.54 × 523.95
  4. Step 4: Simplify right side
    1,447.97x = 1,138,302.33
  5. Step 5: Solve for x
    x = 1,138,302.33/1,447.97
  6. Step 6: Final answer
    x = 786.14

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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.