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Finding the Fourth Proportional to 667.52, 994.32 and 658.88

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Solution

The fourth proportional to 667.52, 994.32 and 658.88 is: 981.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.52 : 994.32 = 658.88 : x
  2. Step 2: Convert to fraction form
    667.52/994.32 = 658.88/x
  3. Step 3: Cross multiply
    667.52x = 994.32 × 658.88
  4. Step 4: Simplify right side
    667.52x = 655,137.56
  5. Step 5: Solve for x
    x = 655,137.56/667.52
  6. Step 6: Final answer
    x = 981.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.