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Finding the Fourth Proportional to 1,257.79, 1,735.86 and 733.99

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Solution

The fourth proportional to 1,257.79, 1,735.86 and 733.99 is: 1,012.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.79 : 1,735.86 = 733.99 : x
  2. Step 2: Convert to fraction form
    1,257.79/1,735.86 = 733.99/x
  3. Step 3: Cross multiply
    1,257.79x = 1,735.86 × 733.99
  4. Step 4: Simplify right side
    1,257.79x = 1,274,103.88
  5. Step 5: Solve for x
    x = 1,274,103.88/1,257.79
  6. Step 6: Final answer
    x = 1,012.97

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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.