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Finding the Fourth Proportional to 1,079.97, 1,609.68 and 1,018.46

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Solution

The fourth proportional to 1,079.97, 1,609.68 and 1,018.46 is: 1,517.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.97 : 1,609.68 = 1,018.46 : x
  2. Step 2: Convert to fraction form
    1,079.97/1,609.68 = 1,018.46/x
  3. Step 3: Cross multiply
    1,079.97x = 1,609.68 × 1,018.46
  4. Step 4: Simplify right side
    1,079.97x = 1,639,386.64
  5. Step 5: Solve for x
    x = 1,639,386.64/1,079.97
  6. Step 6: Final answer
    x = 1,517.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.