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Finding the Fourth Proportional to 1,180.02, 1,769.96 and 717.90

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Solution

The fourth proportional to 1,180.02, 1,769.96 and 717.90 is: 1,076.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.02 : 1,769.96 = 717.90 : x
  2. Step 2: Convert to fraction form
    1,180.02/1,769.96 = 717.90/x
  3. Step 3: Cross multiply
    1,180.02x = 1,769.96 × 717.90
  4. Step 4: Simplify right side
    1,180.02x = 1,270,654.28
  5. Step 5: Solve for x
    x = 1,270,654.28/1,180.02
  6. Step 6: Final answer
    x = 1,076.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.