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Finding the Fourth Proportional to 605.19, 829.72 and 594.26

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Solution

The fourth proportional to 605.19, 829.72 and 594.26 is: 814.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.19 : 829.72 = 594.26 : x
  2. Step 2: Convert to fraction form
    605.19/829.72 = 594.26/x
  3. Step 3: Cross multiply
    605.19x = 829.72 × 594.26
  4. Step 4: Simplify right side
    605.19x = 493,063.77
  5. Step 5: Solve for x
    x = 493,063.77/605.19
  6. Step 6: Final answer
    x = 814.73

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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.