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Finding the Fourth Proportional to 1,103.35, 1,653.97 and 409.54

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Solution

The fourth proportional to 1,103.35, 1,653.97 and 409.54 is: 613.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.35 : 1,653.97 = 409.54 : x
  2. Step 2: Convert to fraction form
    1,103.35/1,653.97 = 409.54/x
  3. Step 3: Cross multiply
    1,103.35x = 1,653.97 × 409.54
  4. Step 4: Simplify right side
    1,103.35x = 677,365.58
  5. Step 5: Solve for x
    x = 677,365.58/1,103.35
  6. Step 6: Final answer
    x = 613.92

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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.