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Finding the Fourth Proportional to 1,374.20, 1,896.40 and 744.73

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Solution

The fourth proportional to 1,374.20, 1,896.40 and 744.73 is: 1,027.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.20 : 1,896.40 = 744.73 : x
  2. Step 2: Convert to fraction form
    1,374.20/1,896.40 = 744.73/x
  3. Step 3: Cross multiply
    1,374.20x = 1,896.40 × 744.73
  4. Step 4: Simplify right side
    1,374.20x = 1,412,306.48
  5. Step 5: Solve for x
    x = 1,412,306.48/1,374.20
  6. Step 6: Final answer
    x = 1,027.73

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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.