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Finding the Fourth Proportional to 1,328.92, 1,993.60 and 404.41

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Solution

The fourth proportional to 1,328.92, 1,993.60 and 404.41 is: 606.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.92 : 1,993.60 = 404.41 : x
  2. Step 2: Convert to fraction form
    1,328.92/1,993.60 = 404.41/x
  3. Step 3: Cross multiply
    1,328.92x = 1,993.60 × 404.41
  4. Step 4: Simplify right side
    1,328.92x = 806,225.78
  5. Step 5: Solve for x
    x = 806,225.78/1,328.92
  6. Step 6: Final answer
    x = 606.68

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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.