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Finding the Fourth Proportional to 1,768.70, 2,653.98 and 844.08

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Solution

The fourth proportional to 1,768.70, 2,653.98 and 844.08 is: 1,266.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.70 : 2,653.98 = 844.08 : x
  2. Step 2: Convert to fraction form
    1,768.70/2,653.98 = 844.08/x
  3. Step 3: Cross multiply
    1,768.70x = 2,653.98 × 844.08
  4. Step 4: Simplify right side
    1,768.70x = 2,240,171.44
  5. Step 5: Solve for x
    x = 2,240,171.44/1,768.70
  6. Step 6: Final answer
    x = 1,266.56

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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.