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Finding the Fourth Proportional to 699.98, 966.67 and 576.86

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Solution

The fourth proportional to 699.98, 966.67 and 576.86 is: 796.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.98 : 966.67 = 576.86 : x
  2. Step 2: Convert to fraction form
    699.98/966.67 = 576.86/x
  3. Step 3: Cross multiply
    699.98x = 966.67 × 576.86
  4. Step 4: Simplify right side
    699.98x = 557,626.98
  5. Step 5: Solve for x
    x = 557,626.98/699.98
  6. Step 6: Final answer
    x = 796.64

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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.