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Finding the Fourth Proportional to 1,296.32, 1,944.89 and 474.85

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Solution

The fourth proportional to 1,296.32, 1,944.89 and 474.85 is: 712.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.32 : 1,944.89 = 474.85 : x
  2. Step 2: Convert to fraction form
    1,296.32/1,944.89 = 474.85/x
  3. Step 3: Cross multiply
    1,296.32x = 1,944.89 × 474.85
  4. Step 4: Simplify right side
    1,296.32x = 923,531.02
  5. Step 5: Solve for x
    x = 923,531.02/1,296.32
  6. Step 6: Final answer
    x = 712.43

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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.