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Finding the Fourth Proportional to 756.26, 1,134.63 and 323.42

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Solution

The fourth proportional to 756.26, 1,134.63 and 323.42 is: 485.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.26 : 1,134.63 = 323.42 : x
  2. Step 2: Convert to fraction form
    756.26/1,134.63 = 323.42/x
  3. Step 3: Cross multiply
    756.26x = 1,134.63 × 323.42
  4. Step 4: Simplify right side
    756.26x = 366,962.03
  5. Step 5: Solve for x
    x = 366,962.03/756.26
  6. Step 6: Final answer
    x = 485.23

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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.