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Finding the Fourth Proportional to 596.50, 822.27 and 513.16

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Solution

The fourth proportional to 596.50, 822.27 and 513.16 is: 707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.50 : 822.27 = 513.16 : x
  2. Step 2: Convert to fraction form
    596.50/822.27 = 513.16/x
  3. Step 3: Cross multiply
    596.50x = 822.27 × 513.16
  4. Step 4: Simplify right side
    596.50x = 421,956.07
  5. Step 5: Solve for x
    x = 421,956.07/596.50
  6. Step 6: Final answer
    x = 707.39

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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.