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Finding the Fourth Proportional to 600.12, 821.57 and 596.07

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Solution

The fourth proportional to 600.12, 821.57 and 596.07 is: 816.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.12 : 821.57 = 596.07 : x
  2. Step 2: Convert to fraction form
    600.12/821.57 = 596.07/x
  3. Step 3: Cross multiply
    600.12x = 821.57 × 596.07
  4. Step 4: Simplify right side
    600.12x = 489,710.25
  5. Step 5: Solve for x
    x = 489,710.25/600.12
  6. Step 6: Final answer
    x = 816.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.