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Finding the Fourth Proportional to 1,204, 1,661.97 and 738.25

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Solution

The fourth proportional to 1,204, 1,661.97 and 738.25 is: 1,019.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204 : 1,661.97 = 738.25 : x
  2. Step 2: Convert to fraction form
    1,204/1,661.97 = 738.25/x
  3. Step 3: Cross multiply
    1,204x = 1,661.97 × 738.25
  4. Step 4: Simplify right side
    1,204x = 1,226,949.35
  5. Step 5: Solve for x
    x = 1,226,949.35/1,204
  6. Step 6: Final answer
    x = 1,019.06

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Double scale
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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.