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Finding the Fourth Proportional to 1,033.25, 1,550.17 and 416.63

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Solution

The fourth proportional to 1,033.25, 1,550.17 and 416.63 is: 625.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.25 : 1,550.17 = 416.63 : x
  2. Step 2: Convert to fraction form
    1,033.25/1,550.17 = 416.63/x
  3. Step 3: Cross multiply
    1,033.25x = 1,550.17 × 416.63
  4. Step 4: Simplify right side
    1,033.25x = 645,850.16
  5. Step 5: Solve for x
    x = 645,850.16/1,033.25
  6. Step 6: Final answer
    x = 625.07

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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.