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Finding the Fourth Proportional to 1,205.62, 1,662.68 and 757.54

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Solution

The fourth proportional to 1,205.62, 1,662.68 and 757.54 is: 1,044.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.62 : 1,662.68 = 757.54 : x
  2. Step 2: Convert to fraction form
    1,205.62/1,662.68 = 757.54/x
  3. Step 3: Cross multiply
    1,205.62x = 1,662.68 × 757.54
  4. Step 4: Simplify right side
    1,205.62x = 1,259,536.97
  5. Step 5: Solve for x
    x = 1,259,536.97/1,205.62
  6. Step 6: Final answer
    x = 1,044.72

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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.