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Finding the Fourth Proportional to 1,209.82, 1,814.94 and 388.16

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Solution

The fourth proportional to 1,209.82, 1,814.94 and 388.16 is: 582.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.82 : 1,814.94 = 388.16 : x
  2. Step 2: Convert to fraction form
    1,209.82/1,814.94 = 388.16/x
  3. Step 3: Cross multiply
    1,209.82x = 1,814.94 × 388.16
  4. Step 4: Simplify right side
    1,209.82x = 704,487.11
  5. Step 5: Solve for x
    x = 704,487.11/1,209.82
  6. Step 6: Final answer
    x = 582.31

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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.