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Finding the Fourth Proportional to 1,105.97, 1,657.79 and 845.40

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Solution

The fourth proportional to 1,105.97, 1,657.79 and 845.40 is: 1,267.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.97 : 1,657.79 = 845.40 : x
  2. Step 2: Convert to fraction form
    1,105.97/1,657.79 = 845.40/x
  3. Step 3: Cross multiply
    1,105.97x = 1,657.79 × 845.40
  4. Step 4: Simplify right side
    1,105.97x = 1,401,491.44
  5. Step 5: Solve for x
    x = 1,401,491.44/1,105.97
  6. Step 6: Final answer
    x = 1,267.21

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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.