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Finding the Fourth Proportional to 837.97, 1,258.99 and 684.88

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Solution

The fourth proportional to 837.97, 1,258.99 and 684.88 is: 1,028.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.97 : 1,258.99 = 684.88 : x
  2. Step 2: Convert to fraction form
    837.97/1,258.99 = 684.88/x
  3. Step 3: Cross multiply
    837.97x = 1,258.99 × 684.88
  4. Step 4: Simplify right side
    837.97x = 862,252.21
  5. Step 5: Solve for x
    x = 862,252.21/837.97
  6. Step 6: Final answer
    x = 1,028.98

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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.