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Finding the Fourth Proportional to 966.05, 1,447.88 and 445.33

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Solution

The fourth proportional to 966.05, 1,447.88 and 445.33 is: 667.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.05 : 1,447.88 = 445.33 : x
  2. Step 2: Convert to fraction form
    966.05/1,447.88 = 445.33/x
  3. Step 3: Cross multiply
    966.05x = 1,447.88 × 445.33
  4. Step 4: Simplify right side
    966.05x = 644,779.18
  5. Step 5: Solve for x
    x = 644,779.18/966.05
  6. Step 6: Final answer
    x = 667.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.