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Finding the Fourth Proportional to 786.82, 1,180.38 and 324.35

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Solution

The fourth proportional to 786.82, 1,180.38 and 324.35 is: 486.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.82 : 1,180.38 = 324.35 : x
  2. Step 2: Convert to fraction form
    786.82/1,180.38 = 324.35/x
  3. Step 3: Cross multiply
    786.82x = 1,180.38 × 324.35
  4. Step 4: Simplify right side
    786.82x = 382,856.25
  5. Step 5: Solve for x
    x = 382,856.25/786.82
  6. Step 6: Final answer
    x = 486.59

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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.