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Finding the Fourth Proportional to 1,079.96, 1,619.75 and 300.02

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Solution

The fourth proportional to 1,079.96, 1,619.75 and 300.02 is: 449.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.96 : 1,619.75 = 300.02 : x
  2. Step 2: Convert to fraction form
    1,079.96/1,619.75 = 300.02/x
  3. Step 3: Cross multiply
    1,079.96x = 1,619.75 × 300.02
  4. Step 4: Simplify right side
    1,079.96x = 485,956.12
  5. Step 5: Solve for x
    x = 485,956.12/1,079.96
  6. Step 6: Final answer
    x = 449.97

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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.