Home / 1,166.36-1,748.22-516.92

Finding the Fourth Proportional to 1,166.36, 1,748.22 and 516.92

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Solution

The fourth proportional to 1,166.36, 1,748.22 and 516.92 is: 774.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.36 : 1,748.22 = 516.92 : x
  2. Step 2: Convert to fraction form
    1,166.36/1,748.22 = 516.92/x
  3. Step 3: Cross multiply
    1,166.36x = 1,748.22 × 516.92
  4. Step 4: Simplify right side
    1,166.36x = 903,689.88
  5. Step 5: Solve for x
    x = 903,689.88/1,166.36
  6. Step 6: Final answer
    x = 774.79

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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.