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Finding the Fourth Proportional to 1,629.26, 2,443.89 and 459.26

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Solution

The fourth proportional to 1,629.26, 2,443.89 and 459.26 is: 688.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.26 : 2,443.89 = 459.26 : x
  2. Step 2: Convert to fraction form
    1,629.26/2,443.89 = 459.26/x
  3. Step 3: Cross multiply
    1,629.26x = 2,443.89 × 459.26
  4. Step 4: Simplify right side
    1,629.26x = 1,122,393.34
  5. Step 5: Solve for x
    x = 1,122,393.34/1,629.26
  6. Step 6: Final answer
    x = 688.90

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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.