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Finding the Fourth Proportional to 1,099.86, 1,649.80 and 278.14

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Solution

The fourth proportional to 1,099.86, 1,649.80 and 278.14 is: 417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.86 : 1,649.80 = 278.14 : x
  2. Step 2: Convert to fraction form
    1,099.86/1,649.80 = 278.14/x
  3. Step 3: Cross multiply
    1,099.86x = 1,649.80 × 278.14
  4. Step 4: Simplify right side
    1,099.86x = 458,872.67
  5. Step 5: Solve for x
    x = 458,872.67/1,099.86
  6. Step 6: Final answer
    x = 417.21

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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.