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Finding the Fourth Proportional to 1,385.93, 2,078.87 and 412.04

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Solution

The fourth proportional to 1,385.93, 2,078.87 and 412.04 is: 618.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.93 : 2,078.87 = 412.04 : x
  2. Step 2: Convert to fraction form
    1,385.93/2,078.87 = 412.04/x
  3. Step 3: Cross multiply
    1,385.93x = 2,078.87 × 412.04
  4. Step 4: Simplify right side
    1,385.93x = 856,565.14
  5. Step 5: Solve for x
    x = 856,565.14/1,385.93
  6. Step 6: Final answer
    x = 618.05

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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.