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Finding the Fourth Proportional to 983.10, 1,473.30 and 694.20

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Solution

The fourth proportional to 983.10, 1,473.30 and 694.20 is: 1,040.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.10 : 1,473.30 = 694.20 : x
  2. Step 2: Convert to fraction form
    983.10/1,473.30 = 694.20/x
  3. Step 3: Cross multiply
    983.10x = 1,473.30 × 694.20
  4. Step 4: Simplify right side
    983.10x = 1,022,764.86
  5. Step 5: Solve for x
    x = 1,022,764.86/983.10
  6. Step 6: Final answer
    x = 1,040.35

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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.