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Finding the Fourth Proportional to 602.82, 835.46 and 593.70

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Solution

The fourth proportional to 602.82, 835.46 and 593.70 is: 822.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.82 : 835.46 = 593.70 : x
  2. Step 2: Convert to fraction form
    602.82/835.46 = 593.70/x
  3. Step 3: Cross multiply
    602.82x = 835.46 × 593.70
  4. Step 4: Simplify right side
    602.82x = 496,012.60
  5. Step 5: Solve for x
    x = 496,012.60/602.82
  6. Step 6: Final answer
    x = 822.82

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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.