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Finding the Fourth Proportional to 1,296, 1,944 and 419.24

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Solution

The fourth proportional to 1,296, 1,944 and 419.24 is: 628.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296 : 1,944 = 419.24 : x
  2. Step 2: Convert to fraction form
    1,296/1,944 = 419.24/x
  3. Step 3: Cross multiply
    1,296x = 1,944 × 419.24
  4. Step 4: Simplify right side
    1,296x = 814,993.07
  5. Step 5: Solve for x
    x = 814,993.07/1,296
  6. Step 6: Final answer
    x = 628.85

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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.