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Finding the Fourth Proportional to 1,629.41, 2,443.65 and 459.33

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Solution

The fourth proportional to 1,629.41, 2,443.65 and 459.33 is: 688.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.41 : 2,443.65 = 459.33 : x
  2. Step 2: Convert to fraction form
    1,629.41/2,443.65 = 459.33/x
  3. Step 3: Cross multiply
    1,629.41x = 2,443.65 × 459.33
  4. Step 4: Simplify right side
    1,629.41x = 1,122,441.75
  5. Step 5: Solve for x
    x = 1,122,441.75/1,629.41
  6. Step 6: Final answer
    x = 688.86

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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.