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Finding the Fourth Proportional to 1,296.37, 1,944.83 and 418.92

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Solution

The fourth proportional to 1,296.37, 1,944.83 and 418.92 is: 628.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.37 : 1,944.83 = 418.92 : x
  2. Step 2: Convert to fraction form
    1,296.37/1,944.83 = 418.92/x
  3. Step 3: Cross multiply
    1,296.37x = 1,944.83 × 418.92
  4. Step 4: Simplify right side
    1,296.37x = 814,730.52
  5. Step 5: Solve for x
    x = 814,730.52/1,296.37
  6. Step 6: Final answer
    x = 628.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.