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Finding the Fourth Proportional to 1,778.72, 2,668.24 and 480.20

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Solution

The fourth proportional to 1,778.72, 2,668.24 and 480.20 is: 720.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.72 : 2,668.24 = 480.20 : x
  2. Step 2: Convert to fraction form
    1,778.72/2,668.24 = 480.20/x
  3. Step 3: Cross multiply
    1,778.72x = 2,668.24 × 480.20
  4. Step 4: Simplify right side
    1,778.72x = 1,281,288.85
  5. Step 5: Solve for x
    x = 1,281,288.85/1,778.72
  6. Step 6: Final answer
    x = 720.34

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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.