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Finding the Fourth Proportional to 1,286.16, 1,927.77 and 799.54

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Solution

The fourth proportional to 1,286.16, 1,927.77 and 799.54 is: 1,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.16 : 1,927.77 = 799.54 : x
  2. Step 2: Convert to fraction form
    1,286.16/1,927.77 = 799.54/x
  3. Step 3: Cross multiply
    1,286.16x = 1,927.77 × 799.54
  4. Step 4: Simplify right side
    1,286.16x = 1,541,329.23
  5. Step 5: Solve for x
    x = 1,541,329.23/1,286.16
  6. Step 6: Final answer
    x = 1,198.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.