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Finding the Fourth Proportional to 1,121.96, 1,677.98 and 966.44

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Solution

The fourth proportional to 1,121.96, 1,677.98 and 966.44 is: 1,445.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.96 : 1,677.98 = 966.44 : x
  2. Step 2: Convert to fraction form
    1,121.96/1,677.98 = 966.44/x
  3. Step 3: Cross multiply
    1,121.96x = 1,677.98 × 966.44
  4. Step 4: Simplify right side
    1,121.96x = 1,621,666.99
  5. Step 5: Solve for x
    x = 1,621,666.99/1,121.96
  6. Step 6: Final answer
    x = 1,445.39

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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.