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Finding the Fourth Proportional to 829.46, 1,144.23 and 514.64

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Solution

The fourth proportional to 829.46, 1,144.23 and 514.64 is: 709.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.46 : 1,144.23 = 514.64 : x
  2. Step 2: Convert to fraction form
    829.46/1,144.23 = 514.64/x
  3. Step 3: Cross multiply
    829.46x = 1,144.23 × 514.64
  4. Step 4: Simplify right side
    829.46x = 588,867.46
  5. Step 5: Solve for x
    x = 588,867.46/829.46
  6. Step 6: Final answer
    x = 709.94

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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.