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Finding the Fourth Proportional to 1,099.94, 1,649.90 and 450.23

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Solution

The fourth proportional to 1,099.94, 1,649.90 and 450.23 is: 675.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.94 : 1,649.90 = 450.23 : x
  2. Step 2: Convert to fraction form
    1,099.94/1,649.90 = 450.23/x
  3. Step 3: Cross multiply
    1,099.94x = 1,649.90 × 450.23
  4. Step 4: Simplify right side
    1,099.94x = 742,827.35
  5. Step 5: Solve for x
    x = 742,827.35/1,099.94
  6. Step 6: Final answer
    x = 675.34

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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.