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Finding the Fourth Proportional to 1,672.19, 2,508.43 and 439.59

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Solution

The fourth proportional to 1,672.19, 2,508.43 and 439.59 is: 659.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.19 : 2,508.43 = 439.59 : x
  2. Step 2: Convert to fraction form
    1,672.19/2,508.43 = 439.59/x
  3. Step 3: Cross multiply
    1,672.19x = 2,508.43 × 439.59
  4. Step 4: Simplify right side
    1,672.19x = 1,102,680.74
  5. Step 5: Solve for x
    x = 1,102,680.74/1,672.19
  6. Step 6: Final answer
    x = 659.42

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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.