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Finding the Fourth Proportional to 1,195.50, 1,649.79 and 729.84

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Solution

The fourth proportional to 1,195.50, 1,649.79 and 729.84 is: 1,007.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.50 : 1,649.79 = 729.84 : x
  2. Step 2: Convert to fraction form
    1,195.50/1,649.79 = 729.84/x
  3. Step 3: Cross multiply
    1,195.50x = 1,649.79 × 729.84
  4. Step 4: Simplify right side
    1,195.50x = 1,204,082.73
  5. Step 5: Solve for x
    x = 1,204,082.73/1,195.50
  6. Step 6: Final answer
    x = 1,007.18

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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.