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Finding the Fourth Proportional to 757.68, 1,135.97 and 411.54

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Solution

The fourth proportional to 757.68, 1,135.97 and 411.54 is: 617.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.68 : 1,135.97 = 411.54 : x
  2. Step 2: Convert to fraction form
    757.68/1,135.97 = 411.54/x
  3. Step 3: Cross multiply
    757.68x = 1,135.97 × 411.54
  4. Step 4: Simplify right side
    757.68x = 467,497.09
  5. Step 5: Solve for x
    x = 467,497.09/757.68
  6. Step 6: Final answer
    x = 617.01

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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.