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Finding the Fourth Proportional to 1,120.42, 1,546.20 and 616.27

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Solution

The fourth proportional to 1,120.42, 1,546.20 and 616.27 is: 850.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.42 : 1,546.20 = 616.27 : x
  2. Step 2: Convert to fraction form
    1,120.42/1,546.20 = 616.27/x
  3. Step 3: Cross multiply
    1,120.42x = 1,546.20 × 616.27
  4. Step 4: Simplify right side
    1,120.42x = 952,876.67
  5. Step 5: Solve for x
    x = 952,876.67/1,120.42
  6. Step 6: Final answer
    x = 850.46

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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.