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Finding the Fourth Proportional to 1,022.84, 1,414.44 and 979.36

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Solution

The fourth proportional to 1,022.84, 1,414.44 and 979.36 is: 1,354.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.84 : 1,414.44 = 979.36 : x
  2. Step 2: Convert to fraction form
    1,022.84/1,414.44 = 979.36/x
  3. Step 3: Cross multiply
    1,022.84x = 1,414.44 × 979.36
  4. Step 4: Simplify right side
    1,022.84x = 1,385,245.96
  5. Step 5: Solve for x
    x = 1,385,245.96/1,022.84
  6. Step 6: Final answer
    x = 1,354.31

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Why These Related Problems?

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