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Finding the Fourth Proportional to 1,116.20, 1,675.74 and 704.20

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Solution

The fourth proportional to 1,116.20, 1,675.74 and 704.20 is: 1,057.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.20 : 1,675.74 = 704.20 : x
  2. Step 2: Convert to fraction form
    1,116.20/1,675.74 = 704.20/x
  3. Step 3: Cross multiply
    1,116.20x = 1,675.74 × 704.20
  4. Step 4: Simplify right side
    1,116.20x = 1,180,056.11
  5. Step 5: Solve for x
    x = 1,180,056.11/1,116.20
  6. Step 6: Final answer
    x = 1,057.21

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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.