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Finding the Fourth Proportional to 1,120.82, 1,546.82 and 623.62

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Solution

The fourth proportional to 1,120.82, 1,546.82 and 623.62 is: 860.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.82 : 1,546.82 = 623.62 : x
  2. Step 2: Convert to fraction form
    1,120.82/1,546.82 = 623.62/x
  3. Step 3: Cross multiply
    1,120.82x = 1,546.82 × 623.62
  4. Step 4: Simplify right side
    1,120.82x = 964,627.89
  5. Step 5: Solve for x
    x = 964,627.89/1,120.82
  6. Step 6: Final answer
    x = 860.64

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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.