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Finding the Fourth Proportional to 1,367.25, 2,050.89 and 341.25

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Solution

The fourth proportional to 1,367.25, 2,050.89 and 341.25 is: 511.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.25 : 2,050.89 = 341.25 : x
  2. Step 2: Convert to fraction form
    1,367.25/2,050.89 = 341.25/x
  3. Step 3: Cross multiply
    1,367.25x = 2,050.89 × 341.25
  4. Step 4: Simplify right side
    1,367.25x = 699,866.21
  5. Step 5: Solve for x
    x = 699,866.21/1,367.25
  6. Step 6: Final answer
    x = 511.88

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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.