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Finding the Fourth Proportional to 1,443.62, 2,164.94 and 469.48

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Solution

The fourth proportional to 1,443.62, 2,164.94 and 469.48 is: 704.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.62 : 2,164.94 = 469.48 : x
  2. Step 2: Convert to fraction form
    1,443.62/2,164.94 = 469.48/x
  3. Step 3: Cross multiply
    1,443.62x = 2,164.94 × 469.48
  4. Step 4: Simplify right side
    1,443.62x = 1,016,396.03
  5. Step 5: Solve for x
    x = 1,016,396.03/1,443.62
  6. Step 6: Final answer
    x = 704.06

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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.