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Finding the Fourth Proportional to 1,104.94, 1,656.38 and 411.44

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Solution

The fourth proportional to 1,104.94, 1,656.38 and 411.44 is: 616.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.94 : 1,656.38 = 411.44 : x
  2. Step 2: Convert to fraction form
    1,104.94/1,656.38 = 411.44/x
  3. Step 3: Cross multiply
    1,104.94x = 1,656.38 × 411.44
  4. Step 4: Simplify right side
    1,104.94x = 681,500.99
  5. Step 5: Solve for x
    x = 681,500.99/1,104.94
  6. Step 6: Final answer
    x = 616.78

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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.