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Finding the Fourth Proportional to 1,448.44, 2,172.62 and 583.36

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Solution

The fourth proportional to 1,448.44, 2,172.62 and 583.36 is: 875.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.44 : 2,172.62 = 583.36 : x
  2. Step 2: Convert to fraction form
    1,448.44/2,172.62 = 583.36/x
  3. Step 3: Cross multiply
    1,448.44x = 2,172.62 × 583.36
  4. Step 4: Simplify right side
    1,448.44x = 1,267,419.60
  5. Step 5: Solve for x
    x = 1,267,419.60/1,448.44
  6. Step 6: Final answer
    x = 875.02

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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.