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Finding the Fourth Proportional to 699.76, 966.04 and 467

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Solution

The fourth proportional to 699.76, 966.04 and 467 is: 644.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.76 : 966.04 = 467 : x
  2. Step 2: Convert to fraction form
    699.76/966.04 = 467/x
  3. Step 3: Cross multiply
    699.76x = 966.04 × 467
  4. Step 4: Simplify right side
    699.76x = 451,140.68
  5. Step 5: Solve for x
    x = 451,140.68/699.76
  6. Step 6: Final answer
    x = 644.71

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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.