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Finding the Fourth Proportional to 1,778.95, 2,668.41 and 624.43

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Solution

The fourth proportional to 1,778.95, 2,668.41 and 624.43 is: 936.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.95 : 2,668.41 = 624.43 : x
  2. Step 2: Convert to fraction form
    1,778.95/2,668.41 = 624.43/x
  3. Step 3: Cross multiply
    1,778.95x = 2,668.41 × 624.43
  4. Step 4: Simplify right side
    1,778.95x = 1,666,235.26
  5. Step 5: Solve for x
    x = 1,666,235.26/1,778.95
  6. Step 6: Final answer
    x = 936.64

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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.