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Finding the Fourth Proportional to 786.53, 1,179.59 and 324.43

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Solution

The fourth proportional to 786.53, 1,179.59 and 324.43 is: 486.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.53 : 1,179.59 = 324.43 : x
  2. Step 2: Convert to fraction form
    786.53/1,179.59 = 324.43/x
  3. Step 3: Cross multiply
    786.53x = 1,179.59 × 324.43
  4. Step 4: Simplify right side
    786.53x = 382,694.38
  5. Step 5: Solve for x
    x = 382,694.38/786.53
  6. Step 6: Final answer
    x = 486.56

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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.