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Finding the Fourth Proportional to 829.64, 1,144.23 and 729.84

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Solution

The fourth proportional to 829.64, 1,144.23 and 729.84 is: 1,006.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.64 : 1,144.23 = 729.84 : x
  2. Step 2: Convert to fraction form
    829.64/1,144.23 = 729.84/x
  3. Step 3: Cross multiply
    829.64x = 1,144.23 × 729.84
  4. Step 4: Simplify right side
    829.64x = 835,104.82
  5. Step 5: Solve for x
    x = 835,104.82/829.64
  6. Step 6: Final answer
    x = 1,006.59

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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.