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Finding the Fourth Proportional to 689.24, 950.81 and 453.09

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Solution

The fourth proportional to 689.24, 950.81 and 453.09 is: 625.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.24 : 950.81 = 453.09 : x
  2. Step 2: Convert to fraction form
    689.24/950.81 = 453.09/x
  3. Step 3: Cross multiply
    689.24x = 950.81 × 453.09
  4. Step 4: Simplify right side
    689.24x = 430,802.50
  5. Step 5: Solve for x
    x = 430,802.50/689.24
  6. Step 6: Final answer
    x = 625.04

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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.