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Finding the Fourth Proportional to 1,195.90, 1,649.94 and 671.82

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Solution

The fourth proportional to 1,195.90, 1,649.94 and 671.82 is: 926.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.90 : 1,649.94 = 671.82 : x
  2. Step 2: Convert to fraction form
    1,195.90/1,649.94 = 671.82/x
  3. Step 3: Cross multiply
    1,195.90x = 1,649.94 × 671.82
  4. Step 4: Simplify right side
    1,195.90x = 1,108,462.69
  5. Step 5: Solve for x
    x = 1,108,462.69/1,195.90
  6. Step 6: Final answer
    x = 926.89

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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.