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Finding the Fourth Proportional to 1,367.30, 2,049.72 and 501.41

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Solution

The fourth proportional to 1,367.30, 2,049.72 and 501.41 is: 751.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.30 : 2,049.72 = 501.41 : x
  2. Step 2: Convert to fraction form
    1,367.30/2,049.72 = 501.41/x
  3. Step 3: Cross multiply
    1,367.30x = 2,049.72 × 501.41
  4. Step 4: Simplify right side
    1,367.30x = 1,027,750.11
  5. Step 5: Solve for x
    x = 1,027,750.11/1,367.30
  6. Step 6: Final answer
    x = 751.66

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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.