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Finding the Fourth Proportional to 1,260.05, 1,890.83 and 797.18

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Solution

The fourth proportional to 1,260.05, 1,890.83 and 797.18 is: 1,196.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.05 : 1,890.83 = 797.18 : x
  2. Step 2: Convert to fraction form
    1,260.05/1,890.83 = 797.18/x
  3. Step 3: Cross multiply
    1,260.05x = 1,890.83 × 797.18
  4. Step 4: Simplify right side
    1,260.05x = 1,507,318.42
  5. Step 5: Solve for x
    x = 1,507,318.42/1,260.05
  6. Step 6: Final answer
    x = 1,196.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.