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Finding the Fourth Proportional to 1,106.67, 1,660.41 and 490.80

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Solution

The fourth proportional to 1,106.67, 1,660.41 and 490.80 is: 736.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.67 : 1,660.41 = 490.80 : x
  2. Step 2: Convert to fraction form
    1,106.67/1,660.41 = 490.80/x
  3. Step 3: Cross multiply
    1,106.67x = 1,660.41 × 490.80
  4. Step 4: Simplify right side
    1,106.67x = 814,929.23
  5. Step 5: Solve for x
    x = 814,929.23/1,106.67
  6. Step 6: Final answer
    x = 736.38

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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.