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Finding the Fourth Proportional to 1,778.98, 2,668.83 and 625.54

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Solution

The fourth proportional to 1,778.98, 2,668.83 and 625.54 is: 938.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.98 : 2,668.83 = 625.54 : x
  2. Step 2: Convert to fraction form
    1,778.98/2,668.83 = 625.54/x
  3. Step 3: Cross multiply
    1,778.98x = 2,668.83 × 625.54
  4. Step 4: Simplify right side
    1,778.98x = 1,669,459.92
  5. Step 5: Solve for x
    x = 1,669,459.92/1,778.98
  6. Step 6: Final answer
    x = 938.44

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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.