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Finding the Fourth Proportional to 696.13, 960.27 and 613.44

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Solution

The fourth proportional to 696.13, 960.27 and 613.44 is: 846.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.13 : 960.27 = 613.44 : x
  2. Step 2: Convert to fraction form
    696.13/960.27 = 613.44/x
  3. Step 3: Cross multiply
    696.13x = 960.27 × 613.44
  4. Step 4: Simplify right side
    696.13x = 589,065.73
  5. Step 5: Solve for x
    x = 589,065.73/696.13
  6. Step 6: Final answer
    x = 846.20

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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.