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Finding the Fourth Proportional to 674.56, 925.92 and 599.23

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Solution

The fourth proportional to 674.56, 925.92 and 599.23 is: 822.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.56 : 925.92 = 599.23 : x
  2. Step 2: Convert to fraction form
    674.56/925.92 = 599.23/x
  3. Step 3: Cross multiply
    674.56x = 925.92 × 599.23
  4. Step 4: Simplify right side
    674.56x = 554,839.04
  5. Step 5: Solve for x
    x = 554,839.04/674.56
  6. Step 6: Final answer
    x = 822.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.