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Finding the Fourth Proportional to 689.82, 952.07 and 468.62

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Solution

The fourth proportional to 689.82, 952.07 and 468.62 is: 646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.82 : 952.07 = 468.62 : x
  2. Step 2: Convert to fraction form
    689.82/952.07 = 468.62/x
  3. Step 3: Cross multiply
    689.82x = 952.07 × 468.62
  4. Step 4: Simplify right side
    689.82x = 446,159.04
  5. Step 5: Solve for x
    x = 446,159.04/689.82
  6. Step 6: Final answer
    x = 646.78

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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.