Home / 1,108.12-1,661.26-522.83

Finding the Fourth Proportional to 1,108.12, 1,661.26 and 522.83

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Solution

The fourth proportional to 1,108.12, 1,661.26 and 522.83 is: 783.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.12 : 1,661.26 = 522.83 : x
  2. Step 2: Convert to fraction form
    1,108.12/1,661.26 = 522.83/x
  3. Step 3: Cross multiply
    1,108.12x = 1,661.26 × 522.83
  4. Step 4: Simplify right side
    1,108.12x = 868,556.57
  5. Step 5: Solve for x
    x = 868,556.57/1,108.12
  6. Step 6: Final answer
    x = 783.81

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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.