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Finding the Fourth Proportional to 626.26, 864.40 and 596.92

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Solution

The fourth proportional to 626.26, 864.40 and 596.92 is: 823.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.26 : 864.40 = 596.92 : x
  2. Step 2: Convert to fraction form
    626.26/864.40 = 596.92/x
  3. Step 3: Cross multiply
    626.26x = 864.40 × 596.92
  4. Step 4: Simplify right side
    626.26x = 515,977.65
  5. Step 5: Solve for x
    x = 515,977.65/626.26
  6. Step 6: Final answer
    x = 823.90

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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.