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Finding the Fourth Proportional to 1,219.73, 1,829.72 and 354.04

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Solution

The fourth proportional to 1,219.73, 1,829.72 and 354.04 is: 531.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.73 : 1,829.72 = 354.04 : x
  2. Step 2: Convert to fraction form
    1,219.73/1,829.72 = 354.04/x
  3. Step 3: Cross multiply
    1,219.73x = 1,829.72 × 354.04
  4. Step 4: Simplify right side
    1,219.73x = 647,787.72
  5. Step 5: Solve for x
    x = 647,787.72/1,219.73
  6. Step 6: Final answer
    x = 531.09

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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.