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Finding the Fourth Proportional to 605.02, 829.39 and 593.98

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Solution

The fourth proportional to 605.02, 829.39 and 593.98 is: 814.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.02 : 829.39 = 593.98 : x
  2. Step 2: Convert to fraction form
    605.02/829.39 = 593.98/x
  3. Step 3: Cross multiply
    605.02x = 829.39 × 593.98
  4. Step 4: Simplify right side
    605.02x = 492,641.07
  5. Step 5: Solve for x
    x = 492,641.07/605.02
  6. Step 6: Final answer
    x = 814.26

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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.