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Finding the Fourth Proportional to 1,220.62, 1,827.81 and 672.21

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Solution

The fourth proportional to 1,220.62, 1,827.81 and 672.21 is: 1,006.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.62 : 1,827.81 = 672.21 : x
  2. Step 2: Convert to fraction form
    1,220.62/1,827.81 = 672.21/x
  3. Step 3: Cross multiply
    1,220.62x = 1,827.81 × 672.21
  4. Step 4: Simplify right side
    1,220.62x = 1,228,672.16
  5. Step 5: Solve for x
    x = 1,228,672.16/1,220.62
  6. Step 6: Final answer
    x = 1,006.60

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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.