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Finding the Fourth Proportional to 1,449.09, 2,173.17 and 474.96

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Solution

The fourth proportional to 1,449.09, 2,173.17 and 474.96 is: 712.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.09 : 2,173.17 = 474.96 : x
  2. Step 2: Convert to fraction form
    1,449.09/2,173.17 = 474.96/x
  3. Step 3: Cross multiply
    1,449.09x = 2,173.17 × 474.96
  4. Step 4: Simplify right side
    1,449.09x = 1,032,168.82
  5. Step 5: Solve for x
    x = 1,032,168.82/1,449.09
  6. Step 6: Final answer
    x = 712.29

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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.