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Finding the Fourth Proportional to 756.34, 1,135.42 and 512.12

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Solution

The fourth proportional to 756.34, 1,135.42 and 512.12 is: 768.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.34 : 1,135.42 = 512.12 : x
  2. Step 2: Convert to fraction form
    756.34/1,135.42 = 512.12/x
  3. Step 3: Cross multiply
    756.34x = 1,135.42 × 512.12
  4. Step 4: Simplify right side
    756.34x = 581,472.85
  5. Step 5: Solve for x
    x = 581,472.85/756.34
  6. Step 6: Final answer
    x = 768.80

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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.