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Finding the Fourth Proportional to 1,444.64, 1,993.74 and 806.69

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Solution

The fourth proportional to 1,444.64, 1,993.74 and 806.69 is: 1,113.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.64 : 1,993.74 = 806.69 : x
  2. Step 2: Convert to fraction form
    1,444.64/1,993.74 = 806.69/x
  3. Step 3: Cross multiply
    1,444.64x = 1,993.74 × 806.69
  4. Step 4: Simplify right side
    1,444.64x = 1,608,326.09
  5. Step 5: Solve for x
    x = 1,608,326.09/1,444.64
  6. Step 6: Final answer
    x = 1,113.31

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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.