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Finding the Fourth Proportional to 1,096.74, 1,512.62 and 899.82

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Solution

The fourth proportional to 1,096.74, 1,512.62 and 899.82 is: 1,241.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.74 : 1,512.62 = 899.82 : x
  2. Step 2: Convert to fraction form
    1,096.74/1,512.62 = 899.82/x
  3. Step 3: Cross multiply
    1,096.74x = 1,512.62 × 899.82
  4. Step 4: Simplify right side
    1,096.74x = 1,361,085.73
  5. Step 5: Solve for x
    x = 1,361,085.73/1,096.74
  6. Step 6: Final answer
    x = 1,241.03

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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.