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Finding the Fourth Proportional to 696.44, 961.94 and 509.67

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Solution

The fourth proportional to 696.44, 961.94 and 509.67 is: 703.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.44 : 961.94 = 509.67 : x
  2. Step 2: Convert to fraction form
    696.44/961.94 = 509.67/x
  3. Step 3: Cross multiply
    696.44x = 961.94 × 509.67
  4. Step 4: Simplify right side
    696.44x = 490,273.23
  5. Step 5: Solve for x
    x = 490,273.23/696.44
  6. Step 6: Final answer
    x = 703.97

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Double scale
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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.