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Finding the Fourth Proportional to 786.61, 1,179.78 and 238.71

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Solution

The fourth proportional to 786.61, 1,179.78 and 238.71 is: 358.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.61 : 1,179.78 = 238.71 : x
  2. Step 2: Convert to fraction form
    786.61/1,179.78 = 238.71/x
  3. Step 3: Cross multiply
    786.61x = 1,179.78 × 238.71
  4. Step 4: Simplify right side
    786.61x = 281,625.28
  5. Step 5: Solve for x
    x = 281,625.28/786.61
  6. Step 6: Final answer
    x = 358.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.