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Finding the Fourth Proportional to 756.12, 1,134.99 and 641.97

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Solution

The fourth proportional to 756.12, 1,134.99 and 641.97 is: 963.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.12 : 1,134.99 = 641.97 : x
  2. Step 2: Convert to fraction form
    756.12/1,134.99 = 641.97/x
  3. Step 3: Cross multiply
    756.12x = 1,134.99 × 641.97
  4. Step 4: Simplify right side
    756.12x = 728,629.53
  5. Step 5: Solve for x
    x = 728,629.53/756.12
  6. Step 6: Final answer
    x = 963.64

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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.