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Finding the Fourth Proportional to 1,338.09, 1,846.26 and 778.43

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Solution

The fourth proportional to 1,338.09, 1,846.26 and 778.43 is: 1,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.09 : 1,846.26 = 778.43 : x
  2. Step 2: Convert to fraction form
    1,338.09/1,846.26 = 778.43/x
  3. Step 3: Cross multiply
    1,338.09x = 1,846.26 × 778.43
  4. Step 4: Simplify right side
    1,338.09x = 1,437,174.94
  5. Step 5: Solve for x
    x = 1,437,174.94/1,338.09
  6. Step 6: Final answer
    x = 1,074.05

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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.