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Finding the Fourth Proportional to 1,105.03, 1,657.80 and 411.70

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Solution

The fourth proportional to 1,105.03, 1,657.80 and 411.70 is: 617.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.03 : 1,657.80 = 411.70 : x
  2. Step 2: Convert to fraction form
    1,105.03/1,657.80 = 411.70/x
  3. Step 3: Cross multiply
    1,105.03x = 1,657.80 × 411.70
  4. Step 4: Simplify right side
    1,105.03x = 682,505.91
  5. Step 5: Solve for x
    x = 682,505.91/1,105.03
  6. Step 6: Final answer
    x = 617.64

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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.