Home / 1,161.24-1,741.23-430.71

Finding the Fourth Proportional to 1,161.24, 1,741.23 and 430.71

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Solution

The fourth proportional to 1,161.24, 1,741.23 and 430.71 is: 645.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.24 : 1,741.23 = 430.71 : x
  2. Step 2: Convert to fraction form
    1,161.24/1,741.23 = 430.71/x
  3. Step 3: Cross multiply
    1,161.24x = 1,741.23 × 430.71
  4. Step 4: Simplify right side
    1,161.24x = 749,965.17
  5. Step 5: Solve for x
    x = 749,965.17/1,161.24
  6. Step 6: Final answer
    x = 645.83

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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.