Home / 1,161.45-1,742.17-283.96

Finding the Fourth Proportional to 1,161.45, 1,742.17 and 283.96

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Solution

The fourth proportional to 1,161.45, 1,742.17 and 283.96 is: 425.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.45 : 1,742.17 = 283.96 : x
  2. Step 2: Convert to fraction form
    1,161.45/1,742.17 = 283.96/x
  3. Step 3: Cross multiply
    1,161.45x = 1,742.17 × 283.96
  4. Step 4: Simplify right side
    1,161.45x = 494,709.66
  5. Step 5: Solve for x
    x = 494,709.66/1,161.45
  6. Step 6: Final answer
    x = 425.94

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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.