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Finding the Fourth Proportional to 1,186.82, 1,780.24 and 365.09

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Solution

The fourth proportional to 1,186.82, 1,780.24 and 365.09 is: 547.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.82 : 1,780.24 = 365.09 : x
  2. Step 2: Convert to fraction form
    1,186.82/1,780.24 = 365.09/x
  3. Step 3: Cross multiply
    1,186.82x = 1,780.24 × 365.09
  4. Step 4: Simplify right side
    1,186.82x = 649,951.36
  5. Step 5: Solve for x
    x = 649,951.36/1,186.82
  6. Step 6: Final answer
    x = 547.64

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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.