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Finding the Fourth Proportional to 596.23, 822.08 and 513.19

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Solution

The fourth proportional to 596.23, 822.08 and 513.19 is: 707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.23 : 822.08 = 513.19 : x
  2. Step 2: Convert to fraction form
    596.23/822.08 = 513.19/x
  3. Step 3: Cross multiply
    596.23x = 822.08 × 513.19
  4. Step 4: Simplify right side
    596.23x = 421,883.24
  5. Step 5: Solve for x
    x = 421,883.24/596.23
  6. Step 6: Final answer
    x = 707.58

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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.