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Finding the Fourth Proportional to 1,296.37, 1,944.88 and 418.95

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Solution

The fourth proportional to 1,296.37, 1,944.88 and 418.95 is: 628.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.37 : 1,944.88 = 418.95 : x
  2. Step 2: Convert to fraction form
    1,296.37/1,944.88 = 418.95/x
  3. Step 3: Cross multiply
    1,296.37x = 1,944.88 × 418.95
  4. Step 4: Simplify right side
    1,296.37x = 814,807.48
  5. Step 5: Solve for x
    x = 814,807.48/1,296.37
  6. Step 6: Final answer
    x = 628.53

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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.