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Finding the Fourth Proportional to 600.82, 832.68 and 591.70

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Solution

The fourth proportional to 600.82, 832.68 and 591.70 is: 820.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.82 : 832.68 = 591.70 : x
  2. Step 2: Convert to fraction form
    600.82/832.68 = 591.70/x
  3. Step 3: Cross multiply
    600.82x = 832.68 × 591.70
  4. Step 4: Simplify right side
    600.82x = 492,696.76
  5. Step 5: Solve for x
    x = 492,696.76/600.82
  6. Step 6: Final answer
    x = 820.04

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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.