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Finding the Fourth Proportional to 1,224.64, 1,836.96 and 359.04

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Solution

The fourth proportional to 1,224.64, 1,836.96 and 359.04 is: 538.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.64 : 1,836.96 = 359.04 : x
  2. Step 2: Convert to fraction form
    1,224.64/1,836.96 = 359.04/x
  3. Step 3: Cross multiply
    1,224.64x = 1,836.96 × 359.04
  4. Step 4: Simplify right side
    1,224.64x = 659,542.12
  5. Step 5: Solve for x
    x = 659,542.12/1,224.64
  6. Step 6: Final answer
    x = 538.56

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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.