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Finding the Fourth Proportional to 786.94, 1,180.46 and 239.16

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Solution

The fourth proportional to 786.94, 1,180.46 and 239.16 is: 358.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.94 : 1,180.46 = 239.16 : x
  2. Step 2: Convert to fraction form
    786.94/1,180.46 = 239.16/x
  3. Step 3: Cross multiply
    786.94x = 1,180.46 × 239.16
  4. Step 4: Simplify right side
    786.94x = 282,317.62
  5. Step 5: Solve for x
    x = 282,317.62/786.94
  6. Step 6: Final answer
    x = 358.75

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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.