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Finding the Fourth Proportional to 786.48, 1,179.72 and 273.12

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Solution

The fourth proportional to 786.48, 1,179.72 and 273.12 is: 409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.48 : 1,179.72 = 273.12 : x
  2. Step 2: Convert to fraction form
    786.48/1,179.72 = 273.12/x
  3. Step 3: Cross multiply
    786.48x = 1,179.72 × 273.12
  4. Step 4: Simplify right side
    786.48x = 322,205.13
  5. Step 5: Solve for x
    x = 322,205.13/786.48
  6. Step 6: Final answer
    x = 409.68

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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.