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Finding the Fourth Proportional to 1,228.92, 1,843.68 and 363.24

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Solution

The fourth proportional to 1,228.92, 1,843.68 and 363.24 is: 544.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.92 : 1,843.68 = 363.24 : x
  2. Step 2: Convert to fraction form
    1,228.92/1,843.68 = 363.24/x
  3. Step 3: Cross multiply
    1,228.92x = 1,843.68 × 363.24
  4. Step 4: Simplify right side
    1,228.92x = 669,698.32
  5. Step 5: Solve for x
    x = 669,698.32/1,228.92
  6. Step 6: Final answer
    x = 544.95

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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.