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Finding the Fourth Proportional to 1,436.42, 1,982.09 and 806.81

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Solution

The fourth proportional to 1,436.42, 1,982.09 and 806.81 is: 1,113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.42 : 1,982.09 = 806.81 : x
  2. Step 2: Convert to fraction form
    1,436.42/1,982.09 = 806.81/x
  3. Step 3: Cross multiply
    1,436.42x = 1,982.09 × 806.81
  4. Step 4: Simplify right side
    1,436.42x = 1,599,156.09
  5. Step 5: Solve for x
    x = 1,599,156.09/1,436.42
  6. Step 6: Final answer
    x = 1,113.30

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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.