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Finding the Fourth Proportional to 596.75, 822.39 and 586.11

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Solution

The fourth proportional to 596.75, 822.39 and 586.11 is: 807.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.75 : 822.39 = 586.11 : x
  2. Step 2: Convert to fraction form
    596.75/822.39 = 586.11/x
  3. Step 3: Cross multiply
    596.75x = 822.39 × 586.11
  4. Step 4: Simplify right side
    596.75x = 482,011.89
  5. Step 5: Solve for x
    x = 482,011.89/596.75
  6. Step 6: Final answer
    x = 807.74

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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.