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Finding the Fourth Proportional to 1,460.13, 2,015 and 796.98

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Solution

The fourth proportional to 1,460.13, 2,015 and 796.98 is: 1,099.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.13 : 2,015 = 796.98 : x
  2. Step 2: Convert to fraction form
    1,460.13/2,015 = 796.98/x
  3. Step 3: Cross multiply
    1,460.13x = 2,015 × 796.98
  4. Step 4: Simplify right side
    1,460.13x = 1,605,914.70
  5. Step 5: Solve for x
    x = 1,605,914.70/1,460.13
  6. Step 6: Final answer
    x = 1,099.84

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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.