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Finding the Fourth Proportional to 850.06, 1,172.25 and 616.78

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Solution

The fourth proportional to 850.06, 1,172.25 and 616.78 is: 850.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.06 : 1,172.25 = 616.78 : x
  2. Step 2: Convert to fraction form
    850.06/1,172.25 = 616.78/x
  3. Step 3: Cross multiply
    850.06x = 1,172.25 × 616.78
  4. Step 4: Simplify right side
    850.06x = 723,020.36
  5. Step 5: Solve for x
    x = 723,020.36/850.06
  6. Step 6: Final answer
    x = 850.55

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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.