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Finding the Fourth Proportional to 1,385.26, 2,077.92 and 411.34

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Solution

The fourth proportional to 1,385.26, 2,077.92 and 411.34 is: 617.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.26 : 2,077.92 = 411.34 : x
  2. Step 2: Convert to fraction form
    1,385.26/2,077.92 = 411.34/x
  3. Step 3: Cross multiply
    1,385.26x = 2,077.92 × 411.34
  4. Step 4: Simplify right side
    1,385.26x = 854,731.61
  5. Step 5: Solve for x
    x = 854,731.61/1,385.26
  6. Step 6: Final answer
    x = 617.02

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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.