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Finding the Fourth Proportional to 1,179.64, 1,769.52 and 717.92

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Solution

The fourth proportional to 1,179.64, 1,769.52 and 717.92 is: 1,076.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.64 : 1,769.52 = 717.92 : x
  2. Step 2: Convert to fraction form
    1,179.64/1,769.52 = 717.92/x
  3. Step 3: Cross multiply
    1,179.64x = 1,769.52 × 717.92
  4. Step 4: Simplify right side
    1,179.64x = 1,270,373.80
  5. Step 5: Solve for x
    x = 1,270,373.80/1,179.64
  6. Step 6: Final answer
    x = 1,076.92

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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.