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Finding the Fourth Proportional to 1,205.84, 1,662.18 and 1,105.40

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Solution

The fourth proportional to 1,205.84, 1,662.18 and 1,105.40 is: 1,523.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.84 : 1,662.18 = 1,105.40 : x
  2. Step 2: Convert to fraction form
    1,205.84/1,662.18 = 1,105.40/x
  3. Step 3: Cross multiply
    1,205.84x = 1,662.18 × 1,105.40
  4. Step 4: Simplify right side
    1,205.84x = 1,837,373.77
  5. Step 5: Solve for x
    x = 1,837,373.77/1,205.84
  6. Step 6: Final answer
    x = 1,523.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.