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Finding the Fourth Proportional to 1,398.96, 2,098.30 and 850.96

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Solution

The fourth proportional to 1,398.96, 2,098.30 and 850.96 is: 1,276.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.96 : 2,098.30 = 850.96 : x
  2. Step 2: Convert to fraction form
    1,398.96/2,098.30 = 850.96/x
  3. Step 3: Cross multiply
    1,398.96x = 2,098.30 × 850.96
  4. Step 4: Simplify right side
    1,398.96x = 1,785,569.37
  5. Step 5: Solve for x
    x = 1,785,569.37/1,398.96
  6. Step 6: Final answer
    x = 1,276.35

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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.