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Finding the Fourth Proportional to 756.86, 1,134.50 and 513.40

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Solution

The fourth proportional to 756.86, 1,134.50 and 513.40 is: 769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.86 : 1,134.50 = 513.40 : x
  2. Step 2: Convert to fraction form
    756.86/1,134.50 = 513.40/x
  3. Step 3: Cross multiply
    756.86x = 1,134.50 × 513.40
  4. Step 4: Simplify right side
    756.86x = 582,452.30
  5. Step 5: Solve for x
    x = 582,452.30/756.86
  6. Step 6: Final answer
    x = 769.56

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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.