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Finding the Fourth Proportional to 700.73, 966.87 and 476.85

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Solution

The fourth proportional to 700.73, 966.87 and 476.85 is: 657.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.73 : 966.87 = 476.85 : x
  2. Step 2: Convert to fraction form
    700.73/966.87 = 476.85/x
  3. Step 3: Cross multiply
    700.73x = 966.87 × 476.85
  4. Step 4: Simplify right side
    700.73x = 461,051.96
  5. Step 5: Solve for x
    x = 461,051.96/700.73
  6. Step 6: Final answer
    x = 657.96

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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.