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Finding the Fourth Proportional to 1,144.02, 1,578.74 and 620.05

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Solution

The fourth proportional to 1,144.02, 1,578.74 and 620.05 is: 855.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.02 : 1,578.74 = 620.05 : x
  2. Step 2: Convert to fraction form
    1,144.02/1,578.74 = 620.05/x
  3. Step 3: Cross multiply
    1,144.02x = 1,578.74 × 620.05
  4. Step 4: Simplify right side
    1,144.02x = 978,897.74
  5. Step 5: Solve for x
    x = 978,897.74/1,144.02
  6. Step 6: Final answer
    x = 855.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.