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Finding the Fourth Proportional to 1,672.68, 2,508.83 and 440.23

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Solution

The fourth proportional to 1,672.68, 2,508.83 and 440.23 is: 660.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.68 : 2,508.83 = 440.23 : x
  2. Step 2: Convert to fraction form
    1,672.68/2,508.83 = 440.23/x
  3. Step 3: Cross multiply
    1,672.68x = 2,508.83 × 440.23
  4. Step 4: Simplify right side
    1,672.68x = 1,104,462.23
  5. Step 5: Solve for x
    x = 1,104,462.23/1,672.68
  6. Step 6: Final answer
    x = 660.29

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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.