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Finding the Fourth Proportional to 1,172.47, 1,759.31 and 850.49

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Solution

The fourth proportional to 1,172.47, 1,759.31 and 850.49 is: 1,276.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.47 : 1,759.31 = 850.49 : x
  2. Step 2: Convert to fraction form
    1,172.47/1,759.31 = 850.49/x
  3. Step 3: Cross multiply
    1,172.47x = 1,759.31 × 850.49
  4. Step 4: Simplify right side
    1,172.47x = 1,496,275.56
  5. Step 5: Solve for x
    x = 1,496,275.56/1,172.47
  6. Step 6: Final answer
    x = 1,276.18

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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.