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Finding the Fourth Proportional to 1,022.56, 1,410.42 and 773.08

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Solution

The fourth proportional to 1,022.56, 1,410.42 and 773.08 is: 1,066.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.56 : 1,410.42 = 773.08 : x
  2. Step 2: Convert to fraction form
    1,022.56/1,410.42 = 773.08/x
  3. Step 3: Cross multiply
    1,022.56x = 1,410.42 × 773.08
  4. Step 4: Simplify right side
    1,022.56x = 1,090,367.49
  5. Step 5: Solve for x
    x = 1,090,367.49/1,022.56
  6. Step 6: Final answer
    x = 1,066.31

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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.