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Finding the Fourth Proportional to 852.14, 1,175.94 and 502.82

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Solution

The fourth proportional to 852.14, 1,175.94 and 502.82 is: 693.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.14 : 1,175.94 = 502.82 : x
  2. Step 2: Convert to fraction form
    852.14/1,175.94 = 502.82/x
  3. Step 3: Cross multiply
    852.14x = 1,175.94 × 502.82
  4. Step 4: Simplify right side
    852.14x = 591,286.15
  5. Step 5: Solve for x
    x = 591,286.15/852.14
  6. Step 6: Final answer
    x = 693.88

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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.