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Finding the Fourth Proportional to 1,227.84, 1,694.44 and 668.34

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Solution

The fourth proportional to 1,227.84, 1,694.44 and 668.34 is: 922.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.84 : 1,694.44 = 668.34 : x
  2. Step 2: Convert to fraction form
    1,227.84/1,694.44 = 668.34/x
  3. Step 3: Cross multiply
    1,227.84x = 1,694.44 × 668.34
  4. Step 4: Simplify right side
    1,227.84x = 1,132,451.89
  5. Step 5: Solve for x
    x = 1,132,451.89/1,227.84
  6. Step 6: Final answer
    x = 922.32

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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.