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Finding the Fourth Proportional to 1,099.18, 1,649.91 and 736.51

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Solution

The fourth proportional to 1,099.18, 1,649.91 and 736.51 is: 1,105.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.18 : 1,649.91 = 736.51 : x
  2. Step 2: Convert to fraction form
    1,099.18/1,649.91 = 736.51/x
  3. Step 3: Cross multiply
    1,099.18x = 1,649.91 × 736.51
  4. Step 4: Simplify right side
    1,099.18x = 1,215,169.38
  5. Step 5: Solve for x
    x = 1,215,169.38/1,099.18
  6. Step 6: Final answer
    x = 1,105.52

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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.