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Finding the Fourth Proportional to 1,273.18, 1,909.44 and 348.79

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Solution

The fourth proportional to 1,273.18, 1,909.44 and 348.79 is: 523.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.18 : 1,909.44 = 348.79 : x
  2. Step 2: Convert to fraction form
    1,273.18/1,909.44 = 348.79/x
  3. Step 3: Cross multiply
    1,273.18x = 1,909.44 × 348.79
  4. Step 4: Simplify right side
    1,273.18x = 665,984.03
  5. Step 5: Solve for x
    x = 665,984.03/1,273.18
  6. Step 6: Final answer
    x = 523.09

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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.