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Finding the Fourth Proportional to 1,257.22, 1,734.21 and 926.50

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Solution

The fourth proportional to 1,257.22, 1,734.21 and 926.50 is: 1,278.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.22 : 1,734.21 = 926.50 : x
  2. Step 2: Convert to fraction form
    1,257.22/1,734.21 = 926.50/x
  3. Step 3: Cross multiply
    1,257.22x = 1,734.21 × 926.50
  4. Step 4: Simplify right side
    1,257.22x = 1,606,745.57
  5. Step 5: Solve for x
    x = 1,606,745.57/1,257.22
  6. Step 6: Final answer
    x = 1,278.01

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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.