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Finding the Fourth Proportional to 1,033.70, 1,550.30 and 408.97

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Solution

The fourth proportional to 1,033.70, 1,550.30 and 408.97 is: 613.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.70 : 1,550.30 = 408.97 : x
  2. Step 2: Convert to fraction form
    1,033.70/1,550.30 = 408.97/x
  3. Step 3: Cross multiply
    1,033.70x = 1,550.30 × 408.97
  4. Step 4: Simplify right side
    1,033.70x = 634,026.08
  5. Step 5: Solve for x
    x = 634,026.08/1,033.70
  6. Step 6: Final answer
    x = 613.36

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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.