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Finding the Fourth Proportional to 689.79, 953.19 and 523.74

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Solution

The fourth proportional to 689.79, 953.19 and 523.74 is: 723.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.79 : 953.19 = 523.74 : x
  2. Step 2: Convert to fraction form
    689.79/953.19 = 523.74/x
  3. Step 3: Cross multiply
    689.79x = 953.19 × 523.74
  4. Step 4: Simplify right side
    689.79x = 499,223.73
  5. Step 5: Solve for x
    x = 499,223.73/689.79
  6. Step 6: Final answer
    x = 723.73

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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.