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Finding the Fourth Proportional to 1,099.40, 1,649.10 and 506.36

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Solution

The fourth proportional to 1,099.40, 1,649.10 and 506.36 is: 759.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.40 : 1,649.10 = 506.36 : x
  2. Step 2: Convert to fraction form
    1,099.40/1,649.10 = 506.36/x
  3. Step 3: Cross multiply
    1,099.40x = 1,649.10 × 506.36
  4. Step 4: Simplify right side
    1,099.40x = 835,038.28
  5. Step 5: Solve for x
    x = 835,038.28/1,099.40
  6. Step 6: Final answer
    x = 759.54

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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.