Home / 1,162.10-1,742.60-675.29

Finding the Fourth Proportional to 1,162.10, 1,742.60 and 675.29

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Solution

The fourth proportional to 1,162.10, 1,742.60 and 675.29 is: 1,012.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.10 : 1,742.60 = 675.29 : x
  2. Step 2: Convert to fraction form
    1,162.10/1,742.60 = 675.29/x
  3. Step 3: Cross multiply
    1,162.10x = 1,742.60 × 675.29
  4. Step 4: Simplify right side
    1,162.10x = 1,176,760.35
  5. Step 5: Solve for x
    x = 1,176,760.35/1,162.10
  6. Step 6: Final answer
    x = 1,012.62

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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.