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Finding the Fourth Proportional to 1,208.33, 1,812.45 and 386.58

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Solution

The fourth proportional to 1,208.33, 1,812.45 and 386.58 is: 579.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.33 : 1,812.45 = 386.58 : x
  2. Step 2: Convert to fraction form
    1,208.33/1,812.45 = 386.58/x
  3. Step 3: Cross multiply
    1,208.33x = 1,812.45 × 386.58
  4. Step 4: Simplify right side
    1,208.33x = 700,656.92
  5. Step 5: Solve for x
    x = 700,656.92/1,208.33
  6. Step 6: Final answer
    x = 579.86

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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.