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Finding the Fourth Proportional to 967.75, 1,452.53 and 752.69

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Solution

The fourth proportional to 967.75, 1,452.53 and 752.69 is: 1,129.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.75 : 1,452.53 = 752.69 : x
  2. Step 2: Convert to fraction form
    967.75/1,452.53 = 752.69/x
  3. Step 3: Cross multiply
    967.75x = 1,452.53 × 752.69
  4. Step 4: Simplify right side
    967.75x = 1,093,310.32
  5. Step 5: Solve for x
    x = 1,093,310.32/967.75
  6. Step 6: Final answer
    x = 1,129.75

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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.