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Finding the Fourth Proportional to 674.29, 1,011.75 and 212.14

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Solution

The fourth proportional to 674.29, 1,011.75 and 212.14 is: 318.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.29 : 1,011.75 = 212.14 : x
  2. Step 2: Convert to fraction form
    674.29/1,011.75 = 212.14/x
  3. Step 3: Cross multiply
    674.29x = 1,011.75 × 212.14
  4. Step 4: Simplify right side
    674.29x = 214,632.65
  5. Step 5: Solve for x
    x = 214,632.65/674.29
  6. Step 6: Final answer
    x = 318.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.