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Finding the Fourth Proportional to 967.14, 1,451.13 and 829.86

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Solution

The fourth proportional to 967.14, 1,451.13 and 829.86 is: 1,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.14 : 1,451.13 = 829.86 : x
  2. Step 2: Convert to fraction form
    967.14/1,451.13 = 829.86/x
  3. Step 3: Cross multiply
    967.14x = 1,451.13 × 829.86
  4. Step 4: Simplify right side
    967.14x = 1,204,234.74
  5. Step 5: Solve for x
    x = 1,204,234.74/967.14
  6. Step 6: Final answer
    x = 1,245.15

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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.