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Finding the Fourth Proportional to 1,459.89, 2,014.61 and 796.68

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Solution

The fourth proportional to 1,459.89, 2,014.61 and 796.68 is: 1,099.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.89 : 2,014.61 = 796.68 : x
  2. Step 2: Convert to fraction form
    1,459.89/2,014.61 = 796.68/x
  3. Step 3: Cross multiply
    1,459.89x = 2,014.61 × 796.68
  4. Step 4: Simplify right side
    1,459.89x = 1,604,995.51
  5. Step 5: Solve for x
    x = 1,604,995.51/1,459.89
  6. Step 6: Final answer
    x = 1,099.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.