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Finding the Fourth Proportional to 1,016.97, 1,515.45 and 983.90

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Solution

The fourth proportional to 1,016.97, 1,515.45 and 983.90 is: 1,466.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.97 : 1,515.45 = 983.90 : x
  2. Step 2: Convert to fraction form
    1,016.97/1,515.45 = 983.90/x
  3. Step 3: Cross multiply
    1,016.97x = 1,515.45 × 983.90
  4. Step 4: Simplify right side
    1,016.97x = 1,491,043.68
  5. Step 5: Solve for x
    x = 1,491,043.68/1,016.97
  6. Step 6: Final answer
    x = 1,466.16

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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.