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Finding the Fourth Proportional to 1,079.15, 1,618.42 and 298.97

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Solution

The fourth proportional to 1,079.15, 1,618.42 and 298.97 is: 448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.15 : 1,618.42 = 298.97 : x
  2. Step 2: Convert to fraction form
    1,079.15/1,618.42 = 298.97/x
  3. Step 3: Cross multiply
    1,079.15x = 1,618.42 × 298.97
  4. Step 4: Simplify right side
    1,079.15x = 483,859.03
  5. Step 5: Solve for x
    x = 483,859.03/1,079.15
  6. Step 6: Final answer
    x = 448.37

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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.