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Finding the Fourth Proportional to 1,448.46, 2,172.67 and 582.75

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Solution

The fourth proportional to 1,448.46, 2,172.67 and 582.75 is: 874.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.46 : 2,172.67 = 582.75 : x
  2. Step 2: Convert to fraction form
    1,448.46/2,172.67 = 582.75/x
  3. Step 3: Cross multiply
    1,448.46x = 2,172.67 × 582.75
  4. Step 4: Simplify right side
    1,448.46x = 1,266,121.99
  5. Step 5: Solve for x
    x = 1,266,121.99/1,448.46
  6. Step 6: Final answer
    x = 874.12

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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.