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Finding the Fourth Proportional to 1,385.55, 2,077.97 and 411.43

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Solution

The fourth proportional to 1,385.55, 2,077.97 and 411.43 is: 617.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.55 : 2,077.97 = 411.43 : x
  2. Step 2: Convert to fraction form
    1,385.55/2,077.97 = 411.43/x
  3. Step 3: Cross multiply
    1,385.55x = 2,077.97 × 411.43
  4. Step 4: Simplify right side
    1,385.55x = 854,926.75
  5. Step 5: Solve for x
    x = 854,926.75/1,385.55
  6. Step 6: Final answer
    x = 617.03

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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.