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Finding the Fourth Proportional to 1,343, 2,014.51 and 418.54

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Solution

The fourth proportional to 1,343, 2,014.51 and 418.54 is: 627.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343 : 2,014.51 = 418.54 : x
  2. Step 2: Convert to fraction form
    1,343/2,014.51 = 418.54/x
  3. Step 3: Cross multiply
    1,343x = 2,014.51 × 418.54
  4. Step 4: Simplify right side
    1,343x = 843,153.02
  5. Step 5: Solve for x
    x = 843,153.02/1,343
  6. Step 6: Final answer
    x = 627.81

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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.