Home / 1,162.20-1,742.22-675.12

Finding the Fourth Proportional to 1,162.20, 1,742.22 and 675.12

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Solution

The fourth proportional to 1,162.20, 1,742.22 and 675.12 is: 1,012.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.20 : 1,742.22 = 675.12 : x
  2. Step 2: Convert to fraction form
    1,162.20/1,742.22 = 675.12/x
  3. Step 3: Cross multiply
    1,162.20x = 1,742.22 × 675.12
  4. Step 4: Simplify right side
    1,162.20x = 1,176,207.57
  5. Step 5: Solve for x
    x = 1,176,207.57/1,162.20
  6. Step 6: Final answer
    x = 1,012.05

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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.