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Finding the Fourth Proportional to 836.12, 1,254.49 and 489.39

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Solution

The fourth proportional to 836.12, 1,254.49 and 489.39 is: 734.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.12 : 1,254.49 = 489.39 : x
  2. Step 2: Convert to fraction form
    836.12/1,254.49 = 489.39/x
  3. Step 3: Cross multiply
    836.12x = 1,254.49 × 489.39
  4. Step 4: Simplify right side
    836.12x = 613,935.99
  5. Step 5: Solve for x
    x = 613,935.99/836.12
  6. Step 6: Final answer
    x = 734.27

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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.