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Finding the Fourth Proportional to 786.38, 1,180.10 and 273.38

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Solution

The fourth proportional to 786.38, 1,180.10 and 273.38 is: 410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.38 : 1,180.10 = 273.38 : x
  2. Step 2: Convert to fraction form
    786.38/1,180.10 = 273.38/x
  3. Step 3: Cross multiply
    786.38x = 1,180.10 × 273.38
  4. Step 4: Simplify right side
    786.38x = 322,610.52
  5. Step 5: Solve for x
    x = 322,610.52/786.38
  6. Step 6: Final answer
    x = 410.25

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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.