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Finding the Fourth Proportional to 1,105, 1,524.84 and 662.80

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Solution

The fourth proportional to 1,105, 1,524.84 and 662.80 is: 914.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105 : 1,524.84 = 662.80 : x
  2. Step 2: Convert to fraction form
    1,105/1,524.84 = 662.80/x
  3. Step 3: Cross multiply
    1,105x = 1,524.84 × 662.80
  4. Step 4: Simplify right side
    1,105x = 1,010,663.95
  5. Step 5: Solve for x
    x = 1,010,663.95/1,105
  6. Step 6: Final answer
    x = 914.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.