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Finding the Fourth Proportional to 599.07, 825.87 and 590.85

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Solution

The fourth proportional to 599.07, 825.87 and 590.85 is: 814.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.07 : 825.87 = 590.85 : x
  2. Step 2: Convert to fraction form
    599.07/825.87 = 590.85/x
  3. Step 3: Cross multiply
    599.07x = 825.87 × 590.85
  4. Step 4: Simplify right side
    599.07x = 487,965.29
  5. Step 5: Solve for x
    x = 487,965.29/599.07
  6. Step 6: Final answer
    x = 814.54

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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.