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Finding the Fourth Proportional to 1,436.28, 1,982.07 and 806.75

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Solution

The fourth proportional to 1,436.28, 1,982.07 and 806.75 is: 1,113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.28 : 1,982.07 = 806.75 : x
  2. Step 2: Convert to fraction form
    1,436.28/1,982.07 = 806.75/x
  3. Step 3: Cross multiply
    1,436.28x = 1,982.07 × 806.75
  4. Step 4: Simplify right side
    1,436.28x = 1,599,039.93
  5. Step 5: Solve for x
    x = 1,599,039.93/1,436.28
  6. Step 6: Final answer
    x = 1,113.32

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1.5x scale

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.