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Finding the Fourth Proportional to 696.49, 960.22 and 538.84

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Solution

The fourth proportional to 696.49, 960.22 and 538.84 is: 742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.49 : 960.22 = 538.84 : x
  2. Step 2: Convert to fraction form
    696.49/960.22 = 538.84/x
  3. Step 3: Cross multiply
    696.49x = 960.22 × 538.84
  4. Step 4: Simplify right side
    696.49x = 517,404.94
  5. Step 5: Solve for x
    x = 517,404.94/696.49
  6. Step 6: Final answer
    x = 742.87

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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.