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Finding the Fourth Proportional to 967.14, 1,452.33 and 822.15

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Solution

The fourth proportional to 967.14, 1,452.33 and 822.15 is: 1,234.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.14 : 1,452.33 = 822.15 : x
  2. Step 2: Convert to fraction form
    967.14/1,452.33 = 822.15/x
  3. Step 3: Cross multiply
    967.14x = 1,452.33 × 822.15
  4. Step 4: Simplify right side
    967.14x = 1,194,033.11
  5. Step 5: Solve for x
    x = 1,194,033.11/967.14
  6. Step 6: Final answer
    x = 1,234.60

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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.