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Finding the Fourth Proportional to 1,208.30, 1,812.26 and 478.37

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Solution

The fourth proportional to 1,208.30, 1,812.26 and 478.37 is: 717.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.30 : 1,812.26 = 478.37 : x
  2. Step 2: Convert to fraction form
    1,208.30/1,812.26 = 478.37/x
  3. Step 3: Cross multiply
    1,208.30x = 1,812.26 × 478.37
  4. Step 4: Simplify right side
    1,208.30x = 866,936.54
  5. Step 5: Solve for x
    x = 866,936.54/1,208.30
  6. Step 6: Final answer
    x = 717.49

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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.