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Finding the Fourth Proportional to 1,209.97, 1,815.31 and 388.23

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Solution

The fourth proportional to 1,209.97, 1,815.31 and 388.23 is: 582.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.97 : 1,815.31 = 388.23 : x
  2. Step 2: Convert to fraction form
    1,209.97/1,815.31 = 388.23/x
  3. Step 3: Cross multiply
    1,209.97x = 1,815.31 × 388.23
  4. Step 4: Simplify right side
    1,209.97x = 704,747.75
  5. Step 5: Solve for x
    x = 704,747.75/1,209.97
  6. Step 6: Final answer
    x = 582.45

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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.