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Finding the Fourth Proportional to 696.14, 960.23 and 529.98

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Solution

The fourth proportional to 696.14, 960.23 and 529.98 is: 731.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.14 : 960.23 = 529.98 : x
  2. Step 2: Convert to fraction form
    696.14/960.23 = 529.98/x
  3. Step 3: Cross multiply
    696.14x = 960.23 × 529.98
  4. Step 4: Simplify right side
    696.14x = 508,902.70
  5. Step 5: Solve for x
    x = 508,902.70/696.14
  6. Step 6: Final answer
    x = 731.03

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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.