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Finding the Fourth Proportional to 1,348.19, 2,022.29 and 800.83

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Solution

The fourth proportional to 1,348.19, 2,022.29 and 800.83 is: 1,201.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.19 : 2,022.29 = 800.83 : x
  2. Step 2: Convert to fraction form
    1,348.19/2,022.29 = 800.83/x
  3. Step 3: Cross multiply
    1,348.19x = 2,022.29 × 800.83
  4. Step 4: Simplify right side
    1,348.19x = 1,619,512.03
  5. Step 5: Solve for x
    x = 1,619,512.03/1,348.19
  6. Step 6: Final answer
    x = 1,201.25

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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.