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Finding the Fourth Proportional to 1,107.83, 1,660.30 and 490.61

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Solution

The fourth proportional to 1,107.83, 1,660.30 and 490.61 is: 735.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.83 : 1,660.30 = 490.61 : x
  2. Step 2: Convert to fraction form
    1,107.83/1,660.30 = 490.61/x
  3. Step 3: Cross multiply
    1,107.83x = 1,660.30 × 490.61
  4. Step 4: Simplify right side
    1,107.83x = 814,556.25
  5. Step 5: Solve for x
    x = 814,556.25/1,107.83
  6. Step 6: Final answer
    x = 735.27

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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.