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Finding the Fourth Proportional to 656.82, 984.96 and 461.34

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Solution

The fourth proportional to 656.82, 984.96 and 461.34 is: 691.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.82 : 984.96 = 461.34 : x
  2. Step 2: Convert to fraction form
    656.82/984.96 = 461.34/x
  3. Step 3: Cross multiply
    656.82x = 984.96 × 461.34
  4. Step 4: Simplify right side
    656.82x = 454,401.45
  5. Step 5: Solve for x
    x = 454,401.45/656.82
  6. Step 6: Final answer
    x = 691.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.