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Finding the Fourth Proportional to 786.93, 1,180.25 and 239.25

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Solution

The fourth proportional to 786.93, 1,180.25 and 239.25 is: 358.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.93 : 1,180.25 = 239.25 : x
  2. Step 2: Convert to fraction form
    786.93/1,180.25 = 239.25/x
  3. Step 3: Cross multiply
    786.93x = 1,180.25 × 239.25
  4. Step 4: Simplify right side
    786.93x = 282,373.62
  5. Step 5: Solve for x
    x = 282,373.62/786.93
  6. Step 6: Final answer
    x = 358.83

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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.