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Finding the Fourth Proportional to 699.93, 966.11 and 467.73

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Solution

The fourth proportional to 699.93, 966.11 and 467.73 is: 645.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.93 : 966.11 = 467.73 : x
  2. Step 2: Convert to fraction form
    699.93/966.11 = 467.73/x
  3. Step 3: Cross multiply
    699.93x = 966.11 × 467.73
  4. Step 4: Simplify right side
    699.93x = 451,876.29
  5. Step 5: Solve for x
    x = 451,876.29/699.93
  6. Step 6: Final answer
    x = 645.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.