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Finding the Fourth Proportional to 1,385.89, 2,078.85 and 412.27

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Solution

The fourth proportional to 1,385.89, 2,078.85 and 412.27 is: 618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.89 : 2,078.85 = 412.27 : x
  2. Step 2: Convert to fraction form
    1,385.89/2,078.85 = 412.27/x
  3. Step 3: Cross multiply
    1,385.89x = 2,078.85 × 412.27
  4. Step 4: Simplify right side
    1,385.89x = 857,047.49
  5. Step 5: Solve for x
    x = 857,047.49/1,385.89
  6. Step 6: Final answer
    x = 618.41

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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.