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Finding the Fourth Proportional to 596.52, 822.65 and 512.47

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Solution

The fourth proportional to 596.52, 822.65 and 512.47 is: 706.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.52 : 822.65 = 512.47 : x
  2. Step 2: Convert to fraction form
    596.52/822.65 = 512.47/x
  3. Step 3: Cross multiply
    596.52x = 822.65 × 512.47
  4. Step 4: Simplify right side
    596.52x = 421,579.33
  5. Step 5: Solve for x
    x = 421,579.33/596.52
  6. Step 6: Final answer
    x = 706.73

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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.