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Finding the Fourth Proportional to 689.25, 950.75 and 453.23

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Solution

The fourth proportional to 689.25, 950.75 and 453.23 is: 625.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.25 : 950.75 = 453.23 : x
  2. Step 2: Convert to fraction form
    689.25/950.75 = 453.23/x
  3. Step 3: Cross multiply
    689.25x = 950.75 × 453.23
  4. Step 4: Simplify right side
    689.25x = 430,901.40
  5. Step 5: Solve for x
    x = 430,901.40/689.25
  6. Step 6: Final answer
    x = 625.17

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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.