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Finding the Fourth Proportional to 1,257.87, 1,735.90 and 698.43

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Solution

The fourth proportional to 1,257.87, 1,735.90 and 698.43 is: 963.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.87 : 1,735.90 = 698.43 : x
  2. Step 2: Convert to fraction form
    1,257.87/1,735.90 = 698.43/x
  3. Step 3: Cross multiply
    1,257.87x = 1,735.90 × 698.43
  4. Step 4: Simplify right side
    1,257.87x = 1,212,409.40
  5. Step 5: Solve for x
    x = 1,212,409.40/1,257.87
  6. Step 6: Final answer
    x = 963.86

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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.