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Finding the Fourth Proportional to 944, 1,414.64 and 828.17

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Solution

The fourth proportional to 944, 1,414.64 and 828.17 is: 1,241.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    944 : 1,414.64 = 828.17 : x
  2. Step 2: Convert to fraction form
    944/1,414.64 = 828.17/x
  3. Step 3: Cross multiply
    944x = 1,414.64 × 828.17
  4. Step 4: Simplify right side
    944x = 1,171,558.27
  5. Step 5: Solve for x
    x = 1,171,558.27/944
  6. Step 6: Final answer
    x = 1,241.06

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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.