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Finding the Fourth Proportional to 1,195.78, 1,650.22 and 671.84

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Solution

The fourth proportional to 1,195.78, 1,650.22 and 671.84 is: 927.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.78 : 1,650.22 = 671.84 : x
  2. Step 2: Convert to fraction form
    1,195.78/1,650.22 = 671.84/x
  3. Step 3: Cross multiply
    1,195.78x = 1,650.22 × 671.84
  4. Step 4: Simplify right side
    1,195.78x = 1,108,683.80
  5. Step 5: Solve for x
    x = 1,108,683.80/1,195.78
  6. Step 6: Final answer
    x = 927.16

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