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Finding the Fourth Proportional to 1,483.49, 2,224.97 and 387.80

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Solution

The fourth proportional to 1,483.49, 2,224.97 and 387.80 is: 581.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.49 : 2,224.97 = 387.80 : x
  2. Step 2: Convert to fraction form
    1,483.49/2,224.97 = 387.80/x
  3. Step 3: Cross multiply
    1,483.49x = 2,224.97 × 387.80
  4. Step 4: Simplify right side
    1,483.49x = 862,830.30
  5. Step 5: Solve for x
    x = 862,830.30/1,483.49
  6. Step 6: Final answer
    x = 581.62

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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.