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Finding the Fourth Proportional to 700.10, 966.84 and 576.98

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Solution

The fourth proportional to 700.10, 966.84 and 576.98 is: 796.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.10 : 966.84 = 576.98 : x
  2. Step 2: Convert to fraction form
    700.10/966.84 = 576.98/x
  3. Step 3: Cross multiply
    700.10x = 966.84 × 576.98
  4. Step 4: Simplify right side
    700.10x = 557,847.34
  5. Step 5: Solve for x
    x = 557,847.34/700.10
  6. Step 6: Final answer
    x = 796.81

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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.