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Finding the Fourth Proportional to 1,459.29, 2,013.82 and 796.13

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Solution

The fourth proportional to 1,459.29, 2,013.82 and 796.13 is: 1,098.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.29 : 2,013.82 = 796.13 : x
  2. Step 2: Convert to fraction form
    1,459.29/2,013.82 = 796.13/x
  3. Step 3: Cross multiply
    1,459.29x = 2,013.82 × 796.13
  4. Step 4: Simplify right side
    1,459.29x = 1,603,258.54
  5. Step 5: Solve for x
    x = 1,603,258.54/1,459.29
  6. Step 6: Final answer
    x = 1,098.66

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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.