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Finding the Fourth Proportional to 1,186.36, 1,775.43 and 819.59

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Solution

The fourth proportional to 1,186.36, 1,775.43 and 819.59 is: 1,226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.36 : 1,775.43 = 819.59 : x
  2. Step 2: Convert to fraction form
    1,186.36/1,775.43 = 819.59/x
  3. Step 3: Cross multiply
    1,186.36x = 1,775.43 × 819.59
  4. Step 4: Simplify right side
    1,186.36x = 1,455,115.80
  5. Step 5: Solve for x
    x = 1,455,115.80/1,186.36
  6. Step 6: Final answer
    x = 1,226.54

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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.