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Finding the Fourth Proportional to 1,282.25, 1,761.81 and 1,019.81

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Solution

The fourth proportional to 1,282.25, 1,761.81 and 1,019.81 is: 1,401.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.25 : 1,761.81 = 1,019.81 : x
  2. Step 2: Convert to fraction form
    1,282.25/1,761.81 = 1,019.81/x
  3. Step 3: Cross multiply
    1,282.25x = 1,761.81 × 1,019.81
  4. Step 4: Simplify right side
    1,282.25x = 1,796,702.65
  5. Step 5: Solve for x
    x = 1,796,702.65/1,282.25
  6. Step 6: Final answer
    x = 1,401.22

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.