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Finding the Fourth Proportional to 1,118.81, 1,676.20 and 1,052.94

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Solution

The fourth proportional to 1,118.81, 1,676.20 and 1,052.94 is: 1,577.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.81 : 1,676.20 = 1,052.94 : x
  2. Step 2: Convert to fraction form
    1,118.81/1,676.20 = 1,052.94/x
  3. Step 3: Cross multiply
    1,118.81x = 1,676.20 × 1,052.94
  4. Step 4: Simplify right side
    1,118.81x = 1,764,938.03
  5. Step 5: Solve for x
    x = 1,764,938.03/1,118.81
  6. Step 6: Final answer
    x = 1,577.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.