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Finding the Fourth Proportional to 1,099.82, 1,649.92 and 552.02

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Solution

The fourth proportional to 1,099.82, 1,649.92 and 552.02 is: 828.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.82 : 1,649.92 = 552.02 : x
  2. Step 2: Convert to fraction form
    1,099.82/1,649.92 = 552.02/x
  3. Step 3: Cross multiply
    1,099.82x = 1,649.92 × 552.02
  4. Step 4: Simplify right side
    1,099.82x = 910,788.84
  5. Step 5: Solve for x
    x = 910,788.84/1,099.82
  6. Step 6: Final answer
    x = 828.13

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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.