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Finding the Fourth Proportional to 1,104.98, 1,657.09 and 411.41

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Solution

The fourth proportional to 1,104.98, 1,657.09 and 411.41 is: 616.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.98 : 1,657.09 = 411.41 : x
  2. Step 2: Convert to fraction form
    1,104.98/1,657.09 = 411.41/x
  3. Step 3: Cross multiply
    1,104.98x = 1,657.09 × 411.41
  4. Step 4: Simplify right side
    1,104.98x = 681,748.05
  5. Step 5: Solve for x
    x = 681,748.05/1,104.98
  6. Step 6: Final answer
    x = 616.98

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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.