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Finding the Fourth Proportional to 1,195.82, 1,649.81 and 747.38

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Solution

The fourth proportional to 1,195.82, 1,649.81 and 747.38 is: 1,031.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.82 : 1,649.81 = 747.38 : x
  2. Step 2: Convert to fraction form
    1,195.82/1,649.81 = 747.38/x
  3. Step 3: Cross multiply
    1,195.82x = 1,649.81 × 747.38
  4. Step 4: Simplify right side
    1,195.82x = 1,233,040.99
  5. Step 5: Solve for x
    x = 1,233,040.99/1,195.82
  6. Step 6: Final answer
    x = 1,031.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.