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Finding the Fourth Proportional to 1,074.92, 1,481.82 and 888.08

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Solution

The fourth proportional to 1,074.92, 1,481.82 and 888.08 is: 1,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.92 : 1,481.82 = 888.08 : x
  2. Step 2: Convert to fraction form
    1,074.92/1,481.82 = 888.08/x
  3. Step 3: Cross multiply
    1,074.92x = 1,481.82 × 888.08
  4. Step 4: Simplify right side
    1,074.92x = 1,315,974.71
  5. Step 5: Solve for x
    x = 1,315,974.71/1,074.92
  6. Step 6: Final answer
    x = 1,224.25

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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.