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Finding the Fourth Proportional to 674.65, 1,010.67 and 400.96

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Solution

The fourth proportional to 674.65, 1,010.67 and 400.96 is: 600.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.65 : 1,010.67 = 400.96 : x
  2. Step 2: Convert to fraction form
    674.65/1,010.67 = 400.96/x
  3. Step 3: Cross multiply
    674.65x = 1,010.67 × 400.96
  4. Step 4: Simplify right side
    674.65x = 405,238.24
  5. Step 5: Solve for x
    x = 405,238.24/674.65
  6. Step 6: Final answer
    x = 600.66

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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.