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Finding the Fourth Proportional to 1,219.53, 1,828.76 and 386.39

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Solution

The fourth proportional to 1,219.53, 1,828.76 and 386.39 is: 579.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.53 : 1,828.76 = 386.39 : x
  2. Step 2: Convert to fraction form
    1,219.53/1,828.76 = 386.39/x
  3. Step 3: Cross multiply
    1,219.53x = 1,828.76 × 386.39
  4. Step 4: Simplify right side
    1,219.53x = 706,610.97
  5. Step 5: Solve for x
    x = 706,610.97/1,219.53
  6. Step 6: Final answer
    x = 579.41

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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.