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Finding the Fourth Proportional to 1,079.48, 1,619.31 and 299.53

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Solution

The fourth proportional to 1,079.48, 1,619.31 and 299.53 is: 449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.48 : 1,619.31 = 299.53 : x
  2. Step 2: Convert to fraction form
    1,079.48/1,619.31 = 299.53/x
  3. Step 3: Cross multiply
    1,079.48x = 1,619.31 × 299.53
  4. Step 4: Simplify right side
    1,079.48x = 485,023.83
  5. Step 5: Solve for x
    x = 485,023.83/1,079.48
  6. Step 6: Final answer
    x = 449.31

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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.