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Finding the Fourth Proportional to 1,596.75, 2,394.41 and 622.83

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Solution

The fourth proportional to 1,596.75, 2,394.41 and 622.83 is: 933.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.75 : 2,394.41 = 622.83 : x
  2. Step 2: Convert to fraction form
    1,596.75/2,394.41 = 622.83/x
  3. Step 3: Cross multiply
    1,596.75x = 2,394.41 × 622.83
  4. Step 4: Simplify right side
    1,596.75x = 1,491,307.27
  5. Step 5: Solve for x
    x = 1,491,307.27/1,596.75
  6. Step 6: Final answer
    x = 933.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.