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Finding the Fourth Proportional to 689, 950.40 and 523.04

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Solution

The fourth proportional to 689, 950.40 and 523.04 is: 721.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    689 : 950.40 = 523.04 : x
  2. Step 2: Convert to fraction form
    689/950.40 = 523.04/x
  3. Step 3: Cross multiply
    689x = 950.40 × 523.04
  4. Step 4: Simplify right side
    689x = 497,097.22
  5. Step 5: Solve for x
    x = 497,097.22/689
  6. Step 6: Final answer
    x = 721.48

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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.