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Finding the Fourth Proportional to 1,227.93, 1,694.59 and 668.43

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Solution

The fourth proportional to 1,227.93, 1,694.59 and 668.43 is: 922.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.93 : 1,694.59 = 668.43 : x
  2. Step 2: Convert to fraction form
    1,227.93/1,694.59 = 668.43/x
  3. Step 3: Cross multiply
    1,227.93x = 1,694.59 × 668.43
  4. Step 4: Simplify right side
    1,227.93x = 1,132,714.79
  5. Step 5: Solve for x
    x = 1,132,714.79/1,227.93
  6. Step 6: Final answer
    x = 922.46

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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.