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Finding the Fourth Proportional to 1,099.61, 1,649.64 and 369.19

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Solution

The fourth proportional to 1,099.61, 1,649.64 and 369.19 is: 553.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.61 : 1,649.64 = 369.19 : x
  2. Step 2: Convert to fraction form
    1,099.61/1,649.64 = 369.19/x
  3. Step 3: Cross multiply
    1,099.61x = 1,649.64 × 369.19
  4. Step 4: Simplify right side
    1,099.61x = 609,030.59
  5. Step 5: Solve for x
    x = 609,030.59/1,099.61
  6. Step 6: Final answer
    x = 553.86

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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.