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Finding the Fourth Proportional to 1,219.88, 1,829.84 and 439.94

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Solution

The fourth proportional to 1,219.88, 1,829.84 and 439.94 is: 659.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.88 : 1,829.84 = 439.94 : x
  2. Step 2: Convert to fraction form
    1,219.88/1,829.84 = 439.94/x
  3. Step 3: Cross multiply
    1,219.88x = 1,829.84 × 439.94
  4. Step 4: Simplify right side
    1,219.88x = 805,025.48
  5. Step 5: Solve for x
    x = 805,025.48/1,219.88
  6. Step 6: Final answer
    x = 659.92

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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.