Home / 1,114.20-1,667.34-723.96

Finding the Fourth Proportional to 1,114.20, 1,667.34 and 723.96

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Solution

The fourth proportional to 1,114.20, 1,667.34 and 723.96 is: 1,083.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.20 : 1,667.34 = 723.96 : x
  2. Step 2: Convert to fraction form
    1,114.20/1,667.34 = 723.96/x
  3. Step 3: Cross multiply
    1,114.20x = 1,667.34 × 723.96
  4. Step 4: Simplify right side
    1,114.20x = 1,207,087.47
  5. Step 5: Solve for x
    x = 1,207,087.47/1,114.20
  6. Step 6: Final answer
    x = 1,083.37

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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.