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Finding the Fourth Proportional to 1,219.28, 1,829.07 and 397.33

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Solution

The fourth proportional to 1,219.28, 1,829.07 and 397.33 is: 596.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.28 : 1,829.07 = 397.33 : x
  2. Step 2: Convert to fraction form
    1,219.28/1,829.07 = 397.33/x
  3. Step 3: Cross multiply
    1,219.28x = 1,829.07 × 397.33
  4. Step 4: Simplify right side
    1,219.28x = 726,742.40
  5. Step 5: Solve for x
    x = 726,742.40/1,219.28
  6. Step 6: Final answer
    x = 596.04

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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.