Home / 1,161.21-1,741.62-430.59

Finding the Fourth Proportional to 1,161.21, 1,741.62 and 430.59

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Solution

The fourth proportional to 1,161.21, 1,741.62 and 430.59 is: 645.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.21 : 1,741.62 = 430.59 : x
  2. Step 2: Convert to fraction form
    1,161.21/1,741.62 = 430.59/x
  3. Step 3: Cross multiply
    1,161.21x = 1,741.62 × 430.59
  4. Step 4: Simplify right side
    1,161.21x = 749,924.16
  5. Step 5: Solve for x
    x = 749,924.16/1,161.21
  6. Step 6: Final answer
    x = 645.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.