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Finding the Fourth Proportional to 1,385.86, 2,079.14 and 411.96

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Solution

The fourth proportional to 1,385.86, 2,079.14 and 411.96 is: 618.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.86 : 2,079.14 = 411.96 : x
  2. Step 2: Convert to fraction form
    1,385.86/2,079.14 = 411.96/x
  3. Step 3: Cross multiply
    1,385.86x = 2,079.14 × 411.96
  4. Step 4: Simplify right side
    1,385.86x = 856,525.88
  5. Step 5: Solve for x
    x = 856,525.88/1,385.86
  6. Step 6: Final answer
    x = 618.05

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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.