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Finding the Fourth Proportional to 1,172.57, 1,616.97 and 995.33

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Solution

The fourth proportional to 1,172.57, 1,616.97 and 995.33 is: 1,372.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.57 : 1,616.97 = 995.33 : x
  2. Step 2: Convert to fraction form
    1,172.57/1,616.97 = 995.33/x
  3. Step 3: Cross multiply
    1,172.57x = 1,616.97 × 995.33
  4. Step 4: Simplify right side
    1,172.57x = 1,609,410.67
  5. Step 5: Solve for x
    x = 1,609,410.67/1,172.57
  6. Step 6: Final answer
    x = 1,372.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.