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Finding the Fourth Proportional to 967.69, 1,336.32 and 673.76

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Solution

The fourth proportional to 967.69, 1,336.32 and 673.76 is: 930.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.69 : 1,336.32 = 673.76 : x
  2. Step 2: Convert to fraction form
    967.69/1,336.32 = 673.76/x
  3. Step 3: Cross multiply
    967.69x = 1,336.32 × 673.76
  4. Step 4: Simplify right side
    967.69x = 900,362.30
  5. Step 5: Solve for x
    x = 900,362.30/967.69
  6. Step 6: Final answer
    x = 930.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.