Home / 1,161.21-1,742.01-431.31

Finding the Fourth Proportional to 1,161.21, 1,742.01 and 431.31

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Solution

The fourth proportional to 1,161.21, 1,742.01 and 431.31 is: 647.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.21 : 1,742.01 = 431.31 : x
  2. Step 2: Convert to fraction form
    1,161.21/1,742.01 = 431.31/x
  3. Step 3: Cross multiply
    1,161.21x = 1,742.01 × 431.31
  4. Step 4: Simplify right side
    1,161.21x = 751,346.33
  5. Step 5: Solve for x
    x = 751,346.33/1,161.21
  6. Step 6: Final answer
    x = 647.04

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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.