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Finding the Fourth Proportional to 1,186.37, 1,781.61 and 817.35

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Solution

The fourth proportional to 1,186.37, 1,781.61 and 817.35 is: 1,227.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.37 : 1,781.61 = 817.35 : x
  2. Step 2: Convert to fraction form
    1,186.37/1,781.61 = 817.35/x
  3. Step 3: Cross multiply
    1,186.37x = 1,781.61 × 817.35
  4. Step 4: Simplify right side
    1,186.37x = 1,456,198.93
  5. Step 5: Solve for x
    x = 1,456,198.93/1,186.37
  6. Step 6: Final answer
    x = 1,227.44

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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.