Home / 1,161.32-1,742.43-511.59

Finding the Fourth Proportional to 1,161.32, 1,742.43 and 511.59

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Solution

The fourth proportional to 1,161.32, 1,742.43 and 511.59 is: 767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.32 : 1,742.43 = 511.59 : x
  2. Step 2: Convert to fraction form
    1,161.32/1,742.43 = 511.59/x
  3. Step 3: Cross multiply
    1,161.32x = 1,742.43 × 511.59
  4. Step 4: Simplify right side
    1,161.32x = 891,407.21
  5. Step 5: Solve for x
    x = 891,407.21/1,161.32
  6. Step 6: Final answer
    x = 767.58

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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.