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Finding the Fourth Proportional to 689.41, 952.07 and 453.51

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Solution

The fourth proportional to 689.41, 952.07 and 453.51 is: 626.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.41 : 952.07 = 453.51 : x
  2. Step 2: Convert to fraction form
    689.41/952.07 = 453.51/x
  3. Step 3: Cross multiply
    689.41x = 952.07 × 453.51
  4. Step 4: Simplify right side
    689.41x = 431,766.24
  5. Step 5: Solve for x
    x = 431,766.24/689.41
  6. Step 6: Final answer
    x = 626.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.