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Finding the Fourth Proportional to 1,179.01, 1,764.39 and 995.88

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Solution

The fourth proportional to 1,179.01, 1,764.39 and 995.88 is: 1,490.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.01 : 1,764.39 = 995.88 : x
  2. Step 2: Convert to fraction form
    1,179.01/1,764.39 = 995.88/x
  3. Step 3: Cross multiply
    1,179.01x = 1,764.39 × 995.88
  4. Step 4: Simplify right side
    1,179.01x = 1,757,120.71
  5. Step 5: Solve for x
    x = 1,757,120.71/1,179.01
  6. Step 6: Final answer
    x = 1,490.34

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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.