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Finding the Fourth Proportional to 786.40, 1,179.60 and 238.59

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Solution

The fourth proportional to 786.40, 1,179.60 and 238.59 is: 357.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.40 : 1,179.60 = 238.59 : x
  2. Step 2: Convert to fraction form
    786.40/1,179.60 = 238.59/x
  3. Step 3: Cross multiply
    786.40x = 1,179.60 × 238.59
  4. Step 4: Simplify right side
    786.40x = 281,435.46
  5. Step 5: Solve for x
    x = 281,435.46/786.40
  6. Step 6: Final answer
    x = 357.88

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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.