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Finding the Fourth Proportional to 1,099.14, 1,649.26 and 514.18

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Solution

The fourth proportional to 1,099.14, 1,649.26 and 514.18 is: 771.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.14 : 1,649.26 = 514.18 : x
  2. Step 2: Convert to fraction form
    1,099.14/1,649.26 = 514.18/x
  3. Step 3: Cross multiply
    1,099.14x = 1,649.26 × 514.18
  4. Step 4: Simplify right side
    1,099.14x = 848,016.51
  5. Step 5: Solve for x
    x = 848,016.51/1,099.14
  6. Step 6: Final answer
    x = 771.53

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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.