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Finding the Fourth Proportional to 1,296.73, 1,944.82 and 419.32

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Solution

The fourth proportional to 1,296.73, 1,944.82 and 419.32 is: 628.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.73 : 1,944.82 = 419.32 : x
  2. Step 2: Convert to fraction form
    1,296.73/1,944.82 = 419.32/x
  3. Step 3: Cross multiply
    1,296.73x = 1,944.82 × 419.32
  4. Step 4: Simplify right side
    1,296.73x = 815,496.01
  5. Step 5: Solve for x
    x = 815,496.01/1,296.73
  6. Step 6: Final answer
    x = 628.89

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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.