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Finding the Fourth Proportional to 829.65, 1,144.44 and 514.68

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Solution

The fourth proportional to 829.65, 1,144.44 and 514.68 is: 709.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.65 : 1,144.44 = 514.68 : x
  2. Step 2: Convert to fraction form
    829.65/1,144.44 = 514.68/x
  3. Step 3: Cross multiply
    829.65x = 1,144.44 × 514.68
  4. Step 4: Simplify right side
    829.65x = 589,020.38
  5. Step 5: Solve for x
    x = 589,020.38/829.65
  6. Step 6: Final answer
    x = 709.96

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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.