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Finding the Fourth Proportional to 967.44, 1,451.34 and 504.96

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Solution

The fourth proportional to 967.44, 1,451.34 and 504.96 is: 757.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.44 : 1,451.34 = 504.96 : x
  2. Step 2: Convert to fraction form
    967.44/1,451.34 = 504.96/x
  3. Step 3: Cross multiply
    967.44x = 1,451.34 × 504.96
  4. Step 4: Simplify right side
    967.44x = 732,868.65
  5. Step 5: Solve for x
    x = 732,868.65/967.44
  6. Step 6: Final answer
    x = 757.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.