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Finding the Fourth Proportional to 1,022.62, 1,410.80 and 668.42

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Solution

The fourth proportional to 1,022.62, 1,410.80 and 668.42 is: 922.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.62 : 1,410.80 = 668.42 : x
  2. Step 2: Convert to fraction form
    1,022.62/1,410.80 = 668.42/x
  3. Step 3: Cross multiply
    1,022.62x = 1,410.80 × 668.42
  4. Step 4: Simplify right side
    1,022.62x = 943,006.94
  5. Step 5: Solve for x
    x = 943,006.94/1,022.62
  6. Step 6: Final answer
    x = 922.15

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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.