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Finding the Fourth Proportional to 1,195.78, 1,650.07 and 664.59

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Solution

The fourth proportional to 1,195.78, 1,650.07 and 664.59 is: 917.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.78 : 1,650.07 = 664.59 : x
  2. Step 2: Convert to fraction form
    1,195.78/1,650.07 = 664.59/x
  3. Step 3: Cross multiply
    1,195.78x = 1,650.07 × 664.59
  4. Step 4: Simplify right side
    1,195.78x = 1,096,620.02
  5. Step 5: Solve for x
    x = 1,096,620.02/1,195.78
  6. Step 6: Final answer
    x = 917.08

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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.