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Finding the Fourth Proportional to 1,219.67, 1,829.05 and 439.46

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Solution

The fourth proportional to 1,219.67, 1,829.05 and 439.46 is: 659.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.67 : 1,829.05 = 439.46 : x
  2. Step 2: Convert to fraction form
    1,219.67/1,829.05 = 439.46/x
  3. Step 3: Cross multiply
    1,219.67x = 1,829.05 × 439.46
  4. Step 4: Simplify right side
    1,219.67x = 803,794.31
  5. Step 5: Solve for x
    x = 803,794.31/1,219.67
  6. Step 6: Final answer
    x = 659.03

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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.