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Finding the Fourth Proportional to 1,099.56, 1,649.53 and 406.23

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Solution

The fourth proportional to 1,099.56, 1,649.53 and 406.23 is: 609.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.56 : 1,649.53 = 406.23 : x
  2. Step 2: Convert to fraction form
    1,099.56/1,649.53 = 406.23/x
  3. Step 3: Cross multiply
    1,099.56x = 1,649.53 × 406.23
  4. Step 4: Simplify right side
    1,099.56x = 670,094.50
  5. Step 5: Solve for x
    x = 670,094.50/1,099.56
  6. Step 6: Final answer
    x = 609.42

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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.