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Finding the Fourth Proportional to 1,273.44, 1,909.58 and 451.46

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Solution

The fourth proportional to 1,273.44, 1,909.58 and 451.46 is: 676.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.44 : 1,909.58 = 451.46 : x
  2. Step 2: Convert to fraction form
    1,273.44/1,909.58 = 451.46/x
  3. Step 3: Cross multiply
    1,273.44x = 1,909.58 × 451.46
  4. Step 4: Simplify right side
    1,273.44x = 862,098.99
  5. Step 5: Solve for x
    x = 862,098.99/1,273.44
  6. Step 6: Final answer
    x = 676.98

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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.