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Finding the Fourth Proportional to 1,232.75, 1,849.19 and 367.07

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Solution

The fourth proportional to 1,232.75, 1,849.19 and 367.07 is: 550.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.75 : 1,849.19 = 367.07 : x
  2. Step 2: Convert to fraction form
    1,232.75/1,849.19 = 367.07/x
  3. Step 3: Cross multiply
    1,232.75x = 1,849.19 × 367.07
  4. Step 4: Simplify right side
    1,232.75x = 678,780.34
  5. Step 5: Solve for x
    x = 678,780.34/1,232.75
  6. Step 6: Final answer
    x = 550.62

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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.