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Finding the Fourth Proportional to 1,459.67, 2,014.40 and 796.55

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Solution

The fourth proportional to 1,459.67, 2,014.40 and 796.55 is: 1,099.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.67 : 2,014.40 = 796.55 : x
  2. Step 2: Convert to fraction form
    1,459.67/2,014.40 = 796.55/x
  3. Step 3: Cross multiply
    1,459.67x = 2,014.40 × 796.55
  4. Step 4: Simplify right side
    1,459.67x = 1,604,556.27
  5. Step 5: Solve for x
    x = 1,604,556.27/1,459.67
  6. Step 6: Final answer
    x = 1,099.26

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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.