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Finding the Fourth Proportional to 1,374.91, 1,896.90 and 777.33

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Solution

The fourth proportional to 1,374.91, 1,896.90 and 777.33 is: 1,072.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.91 : 1,896.90 = 777.33 : x
  2. Step 2: Convert to fraction form
    1,374.91/1,896.90 = 777.33/x
  3. Step 3: Cross multiply
    1,374.91x = 1,896.90 × 777.33
  4. Step 4: Simplify right side
    1,374.91x = 1,474,518.73
  5. Step 5: Solve for x
    x = 1,474,518.73/1,374.91
  6. Step 6: Final answer
    x = 1,072.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.