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Finding the Fourth Proportional to 524.38, 786.57 and 134.38

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Solution

The fourth proportional to 524.38, 786.57 and 134.38 is: 201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.38 : 786.57 = 134.38 : x
  2. Step 2: Convert to fraction form
    524.38/786.57 = 134.38/x
  3. Step 3: Cross multiply
    524.38x = 786.57 × 134.38
  4. Step 4: Simplify right side
    524.38x = 105,699.36
  5. Step 5: Solve for x
    x = 105,699.36/524.38
  6. Step 6: Final answer
    x = 201.57

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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.