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Finding the Fourth Proportional to 786.89, 1,180.26 and 324.55

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Solution

The fourth proportional to 786.89, 1,180.26 and 324.55 is: 486.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.89 : 1,180.26 = 324.55 : x
  2. Step 2: Convert to fraction form
    786.89/1,180.26 = 324.55/x
  3. Step 3: Cross multiply
    786.89x = 1,180.26 × 324.55
  4. Step 4: Simplify right side
    786.89x = 383,053.38
  5. Step 5: Solve for x
    x = 383,053.38/786.89
  6. Step 6: Final answer
    x = 486.80

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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.