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Finding the Fourth Proportional to 1,460.10, 2,014.94 and 796.96

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Solution

The fourth proportional to 1,460.10, 2,014.94 and 796.96 is: 1,099.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.10 : 2,014.94 = 796.96 : x
  2. Step 2: Convert to fraction form
    1,460.10/2,014.94 = 796.96/x
  3. Step 3: Cross multiply
    1,460.10x = 2,014.94 × 796.96
  4. Step 4: Simplify right side
    1,460.10x = 1,605,826.58
  5. Step 5: Solve for x
    x = 1,605,826.58/1,460.10
  6. Step 6: Final answer
    x = 1,099.81

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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.