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Finding the Fourth Proportional to 1,459.28, 2,013.82 and 796.14

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Solution

The fourth proportional to 1,459.28, 2,013.82 and 796.14 is: 1,098.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.28 : 2,013.82 = 796.14 : x
  2. Step 2: Convert to fraction form
    1,459.28/2,013.82 = 796.14/x
  3. Step 3: Cross multiply
    1,459.28x = 2,013.82 × 796.14
  4. Step 4: Simplify right side
    1,459.28x = 1,603,268.61
  5. Step 5: Solve for x
    x = 1,603,268.61/1,459.28
  6. Step 6: Final answer
    x = 1,098.67

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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.