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Finding the Fourth Proportional to 1,099.96, 1,649.82 and 330.52

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Solution

The fourth proportional to 1,099.96, 1,649.82 and 330.52 is: 495.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.96 : 1,649.82 = 330.52 : x
  2. Step 2: Convert to fraction form
    1,099.96/1,649.82 = 330.52/x
  3. Step 3: Cross multiply
    1,099.96x = 1,649.82 × 330.52
  4. Step 4: Simplify right side
    1,099.96x = 545,298.51
  5. Step 5: Solve for x
    x = 545,298.51/1,099.96
  6. Step 6: Final answer
    x = 495.74

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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.