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Finding the Fourth Proportional to 786.36, 1,178.70 and 273.24

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Solution

The fourth proportional to 786.36, 1,178.70 and 273.24 is: 409.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.36 : 1,178.70 = 273.24 : x
  2. Step 2: Convert to fraction form
    786.36/1,178.70 = 273.24/x
  3. Step 3: Cross multiply
    786.36x = 1,178.70 × 273.24
  4. Step 4: Simplify right side
    786.36x = 322,067.99
  5. Step 5: Solve for x
    x = 322,067.99/786.36
  6. Step 6: Final answer
    x = 409.57

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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.