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Finding the Fourth Proportional to 696.36, 1,049.74 and 650.52

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Solution

The fourth proportional to 696.36, 1,049.74 and 650.52 is: 980.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.36 : 1,049.74 = 650.52 : x
  2. Step 2: Convert to fraction form
    696.36/1,049.74 = 650.52/x
  3. Step 3: Cross multiply
    696.36x = 1,049.74 × 650.52
  4. Step 4: Simplify right side
    696.36x = 682,876.86
  5. Step 5: Solve for x
    x = 682,876.86/696.36
  6. Step 6: Final answer
    x = 980.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.