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Finding the Fourth Proportional to 1,201.44, 1,802.17 and 379.70

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Solution

The fourth proportional to 1,201.44, 1,802.17 and 379.70 is: 569.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.44 : 1,802.17 = 379.70 : x
  2. Step 2: Convert to fraction form
    1,201.44/1,802.17 = 379.70/x
  3. Step 3: Cross multiply
    1,201.44x = 1,802.17 × 379.70
  4. Step 4: Simplify right side
    1,201.44x = 684,284.90
  5. Step 5: Solve for x
    x = 684,284.90/1,201.44
  6. Step 6: Final answer
    x = 569.56

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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.