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Finding the Fourth Proportional to 1,224.12, 1,836.04 and 358.52

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Solution

The fourth proportional to 1,224.12, 1,836.04 and 358.52 is: 537.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.12 : 1,836.04 = 358.52 : x
  2. Step 2: Convert to fraction form
    1,224.12/1,836.04 = 358.52/x
  3. Step 3: Cross multiply
    1,224.12x = 1,836.04 × 358.52
  4. Step 4: Simplify right side
    1,224.12x = 658,257.06
  5. Step 5: Solve for x
    x = 658,257.06/1,224.12
  6. Step 6: Final answer
    x = 537.74

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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.