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Finding the Fourth Proportional to 967.78, 1,332.06 and 827.42

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Solution

The fourth proportional to 967.78, 1,332.06 and 827.42 is: 1,138.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.78 : 1,332.06 = 827.42 : x
  2. Step 2: Convert to fraction form
    967.78/1,332.06 = 827.42/x
  3. Step 3: Cross multiply
    967.78x = 1,332.06 × 827.42
  4. Step 4: Simplify right side
    967.78x = 1,102,173.09
  5. Step 5: Solve for x
    x = 1,102,173.09/967.78
  6. Step 6: Final answer
    x = 1,138.87

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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.