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Finding the Fourth Proportional to 699.86, 966.06 and 467

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Solution

The fourth proportional to 699.86, 966.06 and 467 is: 644.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.86 : 966.06 = 467 : x
  2. Step 2: Convert to fraction form
    699.86/966.06 = 467/x
  3. Step 3: Cross multiply
    699.86x = 966.06 × 467
  4. Step 4: Simplify right side
    699.86x = 451,150.02
  5. Step 5: Solve for x
    x = 451,150.02/699.86
  6. Step 6: Final answer
    x = 644.63

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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.