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Finding the Fourth Proportional to 1,208.20, 1,812.56 and 386.53

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Solution

The fourth proportional to 1,208.20, 1,812.56 and 386.53 is: 579.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.20 : 1,812.56 = 386.53 : x
  2. Step 2: Convert to fraction form
    1,208.20/1,812.56 = 386.53/x
  3. Step 3: Cross multiply
    1,208.20x = 1,812.56 × 386.53
  4. Step 4: Simplify right side
    1,208.20x = 700,608.82
  5. Step 5: Solve for x
    x = 700,608.82/1,208.20
  6. Step 6: Final answer
    x = 579.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.