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Finding the Fourth Proportional to 1,209.33, 1,813.93 and 388.19

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Solution

The fourth proportional to 1,209.33, 1,813.93 and 388.19 is: 582.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.33 : 1,813.93 = 388.19 : x
  2. Step 2: Convert to fraction form
    1,209.33/1,813.93 = 388.19/x
  3. Step 3: Cross multiply
    1,209.33x = 1,813.93 × 388.19
  4. Step 4: Simplify right side
    1,209.33x = 704,153.05
  5. Step 5: Solve for x
    x = 704,153.05/1,209.33
  6. Step 6: Final answer
    x = 582.27

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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.