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Finding the Fourth Proportional to 1,374.36, 1,896.62 and 744.89

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Solution

The fourth proportional to 1,374.36, 1,896.62 and 744.89 is: 1,027.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.36 : 1,896.62 = 744.89 : x
  2. Step 2: Convert to fraction form
    1,374.36/1,896.62 = 744.89/x
  3. Step 3: Cross multiply
    1,374.36x = 1,896.62 × 744.89
  4. Step 4: Simplify right side
    1,374.36x = 1,412,777.08
  5. Step 5: Solve for x
    x = 1,412,777.08/1,374.36
  6. Step 6: Final answer
    x = 1,027.95

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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.