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Finding the Fourth Proportional to 1,201.44, 1,802.28 and 552.36

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Solution

The fourth proportional to 1,201.44, 1,802.28 and 552.36 is: 828.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.44 : 1,802.28 = 552.36 : x
  2. Step 2: Convert to fraction form
    1,201.44/1,802.28 = 552.36/x
  3. Step 3: Cross multiply
    1,201.44x = 1,802.28 × 552.36
  4. Step 4: Simplify right side
    1,201.44x = 995,507.38
  5. Step 5: Solve for x
    x = 995,507.38/1,201.44
  6. Step 6: Final answer
    x = 828.60

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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.