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Finding the Fourth Proportional to 1,099.76, 1,649.57 and 278.03

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Solution

The fourth proportional to 1,099.76, 1,649.57 and 278.03 is: 417.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.76 : 1,649.57 = 278.03 : x
  2. Step 2: Convert to fraction form
    1,099.76/1,649.57 = 278.03/x
  3. Step 3: Cross multiply
    1,099.76x = 1,649.57 × 278.03
  4. Step 4: Simplify right side
    1,099.76x = 458,629.95
  5. Step 5: Solve for x
    x = 458,629.95/1,099.76
  6. Step 6: Final answer
    x = 417.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.