Home / 1,311.12-1,965.24-580.14

Finding the Fourth Proportional to 1,311.12, 1,965.24 and 580.14

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Solution

The fourth proportional to 1,311.12, 1,965.24 and 580.14 is: 869.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.12 : 1,965.24 = 580.14 : x
  2. Step 2: Convert to fraction form
    1,311.12/1,965.24 = 580.14/x
  3. Step 3: Cross multiply
    1,311.12x = 1,965.24 × 580.14
  4. Step 4: Simplify right side
    1,311.12x = 1,140,114.33
  5. Step 5: Solve for x
    x = 1,140,114.33/1,311.12
  6. Step 6: Final answer
    x = 869.57

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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.