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Finding the Fourth Proportional to 1,020.62, 1,409.45 and 872.39

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Solution

The fourth proportional to 1,020.62, 1,409.45 and 872.39 is: 1,204.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.62 : 1,409.45 = 872.39 : x
  2. Step 2: Convert to fraction form
    1,020.62/1,409.45 = 872.39/x
  3. Step 3: Cross multiply
    1,020.62x = 1,409.45 × 872.39
  4. Step 4: Simplify right side
    1,020.62x = 1,229,578.68
  5. Step 5: Solve for x
    x = 1,229,578.68/1,020.62
  6. Step 6: Final answer
    x = 1,204.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.