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Finding the Fourth Proportional to 687.94, 1,033.17 and 414.52

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Solution

The fourth proportional to 687.94, 1,033.17 and 414.52 is: 622.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.94 : 1,033.17 = 414.52 : x
  2. Step 2: Convert to fraction form
    687.94/1,033.17 = 414.52/x
  3. Step 3: Cross multiply
    687.94x = 1,033.17 × 414.52
  4. Step 4: Simplify right side
    687.94x = 428,269.63
  5. Step 5: Solve for x
    x = 428,269.63/687.94
  6. Step 6: Final answer
    x = 622.54

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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.