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Finding the Fourth Proportional to 689.58, 953.40 and 523.54

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Solution

The fourth proportional to 689.58, 953.40 and 523.54 is: 723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.58 : 953.40 = 523.54 : x
  2. Step 2: Convert to fraction form
    689.58/953.40 = 523.54/x
  3. Step 3: Cross multiply
    689.58x = 953.40 × 523.54
  4. Step 4: Simplify right side
    689.58x = 499,143.04
  5. Step 5: Solve for x
    x = 499,143.04/689.58
  6. Step 6: Final answer
    x = 723.84

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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.