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Finding the Fourth Proportional to 1,252.44, 1,878.64 and 419.56

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Solution

The fourth proportional to 1,252.44, 1,878.64 and 419.56 is: 629.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.44 : 1,878.64 = 419.56 : x
  2. Step 2: Convert to fraction form
    1,252.44/1,878.64 = 419.56/x
  3. Step 3: Cross multiply
    1,252.44x = 1,878.64 × 419.56
  4. Step 4: Simplify right side
    1,252.44x = 788,202.20
  5. Step 5: Solve for x
    x = 788,202.20/1,252.44
  6. Step 6: Final answer
    x = 629.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.