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Finding the Fourth Proportional to 756.17, 1,131.51 and 446.96

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Solution

The fourth proportional to 756.17, 1,131.51 and 446.96 is: 668.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.17 : 1,131.51 = 446.96 : x
  2. Step 2: Convert to fraction form
    756.17/1,131.51 = 446.96/x
  3. Step 3: Cross multiply
    756.17x = 1,131.51 × 446.96
  4. Step 4: Simplify right side
    756.17x = 505,734.05
  5. Step 5: Solve for x
    x = 505,734.05/756.17
  6. Step 6: Final answer
    x = 668.81

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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.