Home / 1,161.38-1,741.05-430.46

Finding the Fourth Proportional to 1,161.38, 1,741.05 and 430.46

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Solution

The fourth proportional to 1,161.38, 1,741.05 and 430.46 is: 645.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.38 : 1,741.05 = 430.46 : x
  2. Step 2: Convert to fraction form
    1,161.38/1,741.05 = 430.46/x
  3. Step 3: Cross multiply
    1,161.38x = 1,741.05 × 430.46
  4. Step 4: Simplify right side
    1,161.38x = 749,452.38
  5. Step 5: Solve for x
    x = 749,452.38/1,161.38
  6. Step 6: Final answer
    x = 645.31

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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.