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Finding the Fourth Proportional to 1,022.09, 1,409.72 and 800.60

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Solution

The fourth proportional to 1,022.09, 1,409.72 and 800.60 is: 1,104.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.09 : 1,409.72 = 800.60 : x
  2. Step 2: Convert to fraction form
    1,022.09/1,409.72 = 800.60/x
  3. Step 3: Cross multiply
    1,022.09x = 1,409.72 × 800.60
  4. Step 4: Simplify right side
    1,022.09x = 1,128,610.78
  5. Step 5: Solve for x
    x = 1,128,610.78/1,022.09
  6. Step 6: Final answer
    x = 1,104.22

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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.