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Finding the Fourth Proportional to 596.46, 828.62 and 591.12

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Solution

The fourth proportional to 596.46, 828.62 and 591.12 is: 821.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.46 : 828.62 = 591.12 : x
  2. Step 2: Convert to fraction form
    596.46/828.62 = 591.12/x
  3. Step 3: Cross multiply
    596.46x = 828.62 × 591.12
  4. Step 4: Simplify right side
    596.46x = 489,813.85
  5. Step 5: Solve for x
    x = 489,813.85/596.46
  6. Step 6: Final answer
    x = 821.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.