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Finding the Fourth Proportional to 605.04, 834.18 and 596.88

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Solution

The fourth proportional to 605.04, 834.18 and 596.88 is: 822.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.04 : 834.18 = 596.88 : x
  2. Step 2: Convert to fraction form
    605.04/834.18 = 596.88/x
  3. Step 3: Cross multiply
    605.04x = 834.18 × 596.88
  4. Step 4: Simplify right side
    605.04x = 497,905.36
  5. Step 5: Solve for x
    x = 497,905.36/605.04
  6. Step 6: Final answer
    x = 822.93

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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.