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Finding the Fourth Proportional to 1,336.49, 1,844.26 and 738.96

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Solution

The fourth proportional to 1,336.49, 1,844.26 and 738.96 is: 1,019.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.49 : 1,844.26 = 738.96 : x
  2. Step 2: Convert to fraction form
    1,336.49/1,844.26 = 738.96/x
  3. Step 3: Cross multiply
    1,336.49x = 1,844.26 × 738.96
  4. Step 4: Simplify right side
    1,336.49x = 1,362,825.15
  5. Step 5: Solve for x
    x = 1,362,825.15/1,336.49
  6. Step 6: Final answer
    x = 1,019.71

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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.