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Finding the Fourth Proportional to 1,385.97, 2,078.96 and 412.08

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Solution

The fourth proportional to 1,385.97, 2,078.96 and 412.08 is: 618.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.97 : 2,078.96 = 412.08 : x
  2. Step 2: Convert to fraction form
    1,385.97/2,078.96 = 412.08/x
  3. Step 3: Cross multiply
    1,385.97x = 2,078.96 × 412.08
  4. Step 4: Simplify right side
    1,385.97x = 856,697.84
  5. Step 5: Solve for x
    x = 856,697.84/1,385.97
  6. Step 6: Final answer
    x = 618.12

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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.