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Finding the Fourth Proportional to 1,099.49, 1,649.24 and 450.23

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Solution

The fourth proportional to 1,099.49, 1,649.24 and 450.23 is: 675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.49 : 1,649.24 = 450.23 : x
  2. Step 2: Convert to fraction form
    1,099.49/1,649.24 = 450.23/x
  3. Step 3: Cross multiply
    1,099.49x = 1,649.24 × 450.23
  4. Step 4: Simplify right side
    1,099.49x = 742,535.07
  5. Step 5: Solve for x
    x = 742,535.07/1,099.49
  6. Step 6: Final answer
    x = 675.35

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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.