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Finding the Fourth Proportional to 1,195.71, 1,650.07 and 664.60

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Solution

The fourth proportional to 1,195.71, 1,650.07 and 664.60 is: 917.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.71 : 1,650.07 = 664.60 : x
  2. Step 2: Convert to fraction form
    1,195.71/1,650.07 = 664.60/x
  3. Step 3: Cross multiply
    1,195.71x = 1,650.07 × 664.60
  4. Step 4: Simplify right side
    1,195.71x = 1,096,627.44
  5. Step 5: Solve for x
    x = 1,096,627.44/1,195.71
  6. Step 6: Final answer
    x = 917.13

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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.