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Finding the Fourth Proportional to 595.98, 825.84 and 559.44

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Solution

The fourth proportional to 595.98, 825.84 and 559.44 is: 775.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.98 : 825.84 = 559.44 : x
  2. Step 2: Convert to fraction form
    595.98/825.84 = 559.44/x
  3. Step 3: Cross multiply
    595.98x = 825.84 × 559.44
  4. Step 4: Simplify right side
    595.98x = 462,007.93
  5. Step 5: Solve for x
    x = 462,007.93/595.98
  6. Step 6: Final answer
    x = 775.21

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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.