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Finding the Fourth Proportional to 1,172.76, 1,759.26 and 523.44

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Solution

The fourth proportional to 1,172.76, 1,759.26 and 523.44 is: 785.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.76 : 1,759.26 = 523.44 : x
  2. Step 2: Convert to fraction form
    1,172.76/1,759.26 = 523.44/x
  3. Step 3: Cross multiply
    1,172.76x = 1,759.26 × 523.44
  4. Step 4: Simplify right side
    1,172.76x = 920,867.05
  5. Step 5: Solve for x
    x = 920,867.05/1,172.76
  6. Step 6: Final answer
    x = 785.21

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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.