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Finding the Fourth Proportional to 1,273.72, 1,909.97 and 494.09

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Solution

The fourth proportional to 1,273.72, 1,909.97 and 494.09 is: 740.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.72 : 1,909.97 = 494.09 : x
  2. Step 2: Convert to fraction form
    1,273.72/1,909.97 = 494.09/x
  3. Step 3: Cross multiply
    1,273.72x = 1,909.97 × 494.09
  4. Step 4: Simplify right side
    1,273.72x = 943,697.08
  5. Step 5: Solve for x
    x = 943,697.08/1,273.72
  6. Step 6: Final answer
    x = 740.90

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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.