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Finding the Fourth Proportional to 823.97, 1,236.70 and 434.23

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Solution

The fourth proportional to 823.97, 1,236.70 and 434.23 is: 651.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.97 : 1,236.70 = 434.23 : x
  2. Step 2: Convert to fraction form
    823.97/1,236.70 = 434.23/x
  3. Step 3: Cross multiply
    823.97x = 1,236.70 × 434.23
  4. Step 4: Simplify right side
    823.97x = 537,009.69
  5. Step 5: Solve for x
    x = 537,009.69/823.97
  6. Step 6: Final answer
    x = 651.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.