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Finding the Fourth Proportional to 1,367.85, 2,051.84 and 443.48

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Solution

The fourth proportional to 1,367.85, 2,051.84 and 443.48 is: 665.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.85 : 2,051.84 = 443.48 : x
  2. Step 2: Convert to fraction form
    1,367.85/2,051.84 = 443.48/x
  3. Step 3: Cross multiply
    1,367.85x = 2,051.84 × 443.48
  4. Step 4: Simplify right side
    1,367.85x = 909,942.66
  5. Step 5: Solve for x
    x = 909,942.66/1,367.85
  6. Step 6: Final answer
    x = 665.24

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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.