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Finding the Fourth Proportional to 1,356.76, 1,872.49 and 797.44

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Solution

The fourth proportional to 1,356.76, 1,872.49 and 797.44 is: 1,100.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.76 : 1,872.49 = 797.44 : x
  2. Step 2: Convert to fraction form
    1,356.76/1,872.49 = 797.44/x
  3. Step 3: Cross multiply
    1,356.76x = 1,872.49 × 797.44
  4. Step 4: Simplify right side
    1,356.76x = 1,493,198.43
  5. Step 5: Solve for x
    x = 1,493,198.43/1,356.76
  6. Step 6: Final answer
    x = 1,100.56

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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.