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Finding the Fourth Proportional to 674.01, 1,010.64 and 262.80

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Solution

The fourth proportional to 674.01, 1,010.64 and 262.80 is: 394.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.01 : 1,010.64 = 262.80 : x
  2. Step 2: Convert to fraction form
    674.01/1,010.64 = 262.80/x
  3. Step 3: Cross multiply
    674.01x = 1,010.64 × 262.80
  4. Step 4: Simplify right side
    674.01x = 265,596.19
  5. Step 5: Solve for x
    x = 265,596.19/674.01
  6. Step 6: Final answer
    x = 394.05

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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.