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Finding the Fourth Proportional to 967.26, 1,449.69 and 504.30

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Solution

The fourth proportional to 967.26, 1,449.69 and 504.30 is: 755.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.26 : 1,449.69 = 504.30 : x
  2. Step 2: Convert to fraction form
    967.26/1,449.69 = 504.30/x
  3. Step 3: Cross multiply
    967.26x = 1,449.69 × 504.30
  4. Step 4: Simplify right side
    967.26x = 731,078.67
  5. Step 5: Solve for x
    x = 731,078.67/967.26
  6. Step 6: Final answer
    x = 755.82

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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.