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Finding the Fourth Proportional to 524.43, 786.63 and 134.44

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Solution

The fourth proportional to 524.43, 786.63 and 134.44 is: 201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.43 : 786.63 = 134.44 : x
  2. Step 2: Convert to fraction form
    524.43/786.63 = 134.44/x
  3. Step 3: Cross multiply
    524.43x = 786.63 × 134.44
  4. Step 4: Simplify right side
    524.43x = 105,750.94
  5. Step 5: Solve for x
    x = 105,750.94/524.43
  6. Step 6: Final answer
    x = 201.65

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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.