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Finding the Fourth Proportional to 1,180.76, 1,771.44 and 694.22

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Solution

The fourth proportional to 1,180.76, 1,771.44 and 694.22 is: 1,041.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.76 : 1,771.44 = 694.22 : x
  2. Step 2: Convert to fraction form
    1,180.76/1,771.44 = 694.22/x
  3. Step 3: Cross multiply
    1,180.76x = 1,771.44 × 694.22
  4. Step 4: Simplify right side
    1,180.76x = 1,229,769.08
  5. Step 5: Solve for x
    x = 1,229,769.08/1,180.76
  6. Step 6: Final answer
    x = 1,041.51

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Double scale
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1.5x scale

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.