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Finding the Fourth Proportional to 1,399.46, 2,098.70 and 412

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Solution

The fourth proportional to 1,399.46, 2,098.70 and 412 is: 617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.46 : 2,098.70 = 412 : x
  2. Step 2: Convert to fraction form
    1,399.46/2,098.70 = 412/x
  3. Step 3: Cross multiply
    1,399.46x = 2,098.70 × 412
  4. Step 4: Simplify right side
    1,399.46x = 864,664.40
  5. Step 5: Solve for x
    x = 864,664.40/1,399.46
  6. Step 6: Final answer
    x = 617.86

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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.