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Finding the Fourth Proportional to 1,482.89, 2,224.13 and 387.33

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Solution

The fourth proportional to 1,482.89, 2,224.13 and 387.33 is: 580.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.89 : 2,224.13 = 387.33 : x
  2. Step 2: Convert to fraction form
    1,482.89/2,224.13 = 387.33/x
  3. Step 3: Cross multiply
    1,482.89x = 2,224.13 × 387.33
  4. Step 4: Simplify right side
    1,482.89x = 861,470.34
  5. Step 5: Solve for x
    x = 861,470.34/1,482.89
  6. Step 6: Final answer
    x = 580.94

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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.