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Finding the Fourth Proportional to 1,386.27, 2,079.05 and 412.43

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Solution

The fourth proportional to 1,386.27, 2,079.05 and 412.43 is: 618.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.27 : 2,079.05 = 412.43 : x
  2. Step 2: Convert to fraction form
    1,386.27/2,079.05 = 412.43/x
  3. Step 3: Cross multiply
    1,386.27x = 2,079.05 × 412.43
  4. Step 4: Simplify right side
    1,386.27x = 857,450.13
  5. Step 5: Solve for x
    x = 857,450.13/1,386.27
  6. Step 6: Final answer
    x = 618.53

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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.