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Finding the Fourth Proportional to 1,273.24, 1,909.77 and 395.72

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Solution

The fourth proportional to 1,273.24, 1,909.77 and 395.72 is: 593.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.24 : 1,909.77 = 395.72 : x
  2. Step 2: Convert to fraction form
    1,273.24/1,909.77 = 395.72/x
  3. Step 3: Cross multiply
    1,273.24x = 1,909.77 × 395.72
  4. Step 4: Simplify right side
    1,273.24x = 755,731.80
  5. Step 5: Solve for x
    x = 755,731.80/1,273.24
  6. Step 6: Final answer
    x = 593.55

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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.