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Finding the Fourth Proportional to 1,296.26, 1,944.93 and 474.61

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Solution

The fourth proportional to 1,296.26, 1,944.93 and 474.61 is: 712.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.26 : 1,944.93 = 474.61 : x
  2. Step 2: Convert to fraction form
    1,296.26/1,944.93 = 474.61/x
  3. Step 3: Cross multiply
    1,296.26x = 1,944.93 × 474.61
  4. Step 4: Simplify right side
    1,296.26x = 923,083.23
  5. Step 5: Solve for x
    x = 923,083.23/1,296.26
  6. Step 6: Final answer
    x = 712.11

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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.