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Finding the Fourth Proportional to 1,099.94, 1,649.91 and 278.28

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Solution

The fourth proportional to 1,099.94, 1,649.91 and 278.28 is: 417.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.94 : 1,649.91 = 278.28 : x
  2. Step 2: Convert to fraction form
    1,099.94/1,649.91 = 278.28/x
  3. Step 3: Cross multiply
    1,099.94x = 1,649.91 × 278.28
  4. Step 4: Simplify right side
    1,099.94x = 459,136.95
  5. Step 5: Solve for x
    x = 459,136.95/1,099.94
  6. Step 6: Final answer
    x = 417.42

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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.