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Finding the Fourth Proportional to 1,412.75, 2,119.13 and 386.75

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Solution

The fourth proportional to 1,412.75, 2,119.13 and 386.75 is: 580.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.75 : 2,119.13 = 386.75 : x
  2. Step 2: Convert to fraction form
    1,412.75/2,119.13 = 386.75/x
  3. Step 3: Cross multiply
    1,412.75x = 2,119.13 × 386.75
  4. Step 4: Simplify right side
    1,412.75x = 819,571.59
  5. Step 5: Solve for x
    x = 819,571.59/1,412.75
  6. Step 6: Final answer
    x = 580.13

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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.